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Paper Citation Record · LEDGER

DoFun 3.0: Functional equations in Mathematica

As of 15 August 2026, this Paper Citation Record lists 74 of 74 outbound references and 3 inbound Pith citation observations for arXiv:1908.02760.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.02760 v2

Coverage vector

measured 74 of 74 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:40:15.118323Z

measured 77 of 77 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:56:28.490598Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T11:29:50.623615Z

Reference resolution

74 of 74 outbound references displayed

  • verified exact15
  • verified fuzzy2
  • unresolved34
  • parse uncertain0
  • malformed identifier23
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8fd18e0d-15db-4de2-8648-798c4a4dc6dc · outbound

This paper cites Wolfram, The Mathematica Book, Wolfram Media and Cambridge University Press, 2004.

DoFun 3.0: Functional equations in Mathematica Wolfram, The Mathematica Book, Wolfram Media and Cambridge University Press, 2004

Reference 1

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Observation 89074c7b-6c2e-471e-866b-3fa42b04456f · outbound

This paper cites Automatic Computation of Feynman Diagrams.

DoFun 3.0: Functional equations in Mathematica Automatic Computation of Feynman Diagrams

Reference 2

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Observation 4d443b97-1a0f-4082-991f-b2d79141a0bf · outbound

This paper cites Precision Calculations for Future Colliders.

DoFun 3.0: Functional equations in Mathematica Precision Calculations for Future Colliders

Reference 3

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Observation 5a8f21ec-4f7b-4d49-b5ce-d0c7f25d7bf6 · outbound

This paper cites Track 3: Computations in theoretical physics -- techniques and methods.

DoFun 3.0: Functional equations in Mathematica Track 3: Computations in theoretical physics -- techniques and methods

Reference 4

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Observation 0e254868-b17b-43c5-93c0-e815538c0d80 · outbound

This paper cites Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics.

DoFun 3.0: Functional equations in Mathematica Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics

Reference 5

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Observation a4eafb9a-5cd3-481c-8ba0-306c4c51de24 · outbound

This paper cites Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD.

DoFun 3.0: Functional equations in Mathematica Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD

Reference 6

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Observation ce6106f1-e1f1-4a72-8cfe-71f7e47b8d65 · outbound

This paper cites The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States.

DoFun 3.0: Functional equations in Mathematica The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States

Reference 7

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Observation 2339d8f8-aa54-45bc-8502-e7f7281a94c4 · outbound

This paper cites Aspects of the Functional Renormalisation Group.

DoFun 3.0: Functional equations in Mathematica Aspects of the Functional Renormalisation Group

Reference 8

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Observation 15e81140-3fb0-4ff4-babc-550bfa5c14f2 · outbound

This paper cites Infrared Properties of QCD from Dyson-Schwinger equations.

DoFun 3.0: Functional equations in Mathematica Infrared Properties of QCD from Dyson-Schwinger equations

Reference 9

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Observation e857ab27-b7d4-4ff6-bfb8-5610aeb68c69 · outbound

This paper cites Introduction to the functional RG and applications to gauge theories.

DoFun 3.0: Functional equations in Mathematica Introduction to the functional RG and applications to gauge theories

Reference 10

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Observation e9bffa80-ace7-4537-abcc-66bc34d21087 · outbound

This paper cites Renormalization Group Approach towards the QCD Phase Diagram.

DoFun 3.0: Functional equations in Mathematica Renormalization Group Approach towards the QCD Phase Diagram

Reference 11

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Observation 45bed03b-1394-4423-96e4-94b9dcb7411b · outbound

This paper cites Binosi, J.

DoFun 3.0: Functional equations in Mathematica Binosi, J

Reference 12

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Observation b1d19050-2b99-4585-8321-591e52a52965 · outbound

This paper cites Fermion Interactions and Universal Behavior in Strongly Interacting Theories.

DoFun 3.0: Functional equations in Mathematica Fermion Interactions and Universal Behavior in Strongly Interacting Theories

Reference 13

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Observation 843f5dba-0dc5-4d2e-b7fc-073e50173ff3 · outbound

This paper cites Gauge bosons at zero and finite temperature.

DoFun 3.0: Functional equations in Mathematica Gauge bosons at zero and finite temperature

Reference 14

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Observation 1b76c89f-11d6-4d38-ae44-ca0e656bdd4e · outbound

This paper cites Baryons as relativistic three-quark bound states.

DoFun 3.0: Functional equations in Mathematica Baryons as relativistic three-quark bound states

Reference 15

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Observation fe2bdfea-01fa-423e-afd5-4e2eb8c84d2b · outbound

This paper cites Recent developments in bound-state calculations using the Dyson-Schwinger and Bethe-Salpeter equations.

DoFun 3.0: Functional equations in Mathematica Recent developments in bound-state calculations using the Dyson-Schwinger and Bethe-Salpeter equations

Reference 16

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Observation b4905975-a805-4ff8-b5aa-8de35f042ae7 · outbound

This paper cites Nonperturbative properties of Yang-Mills theories.

DoFun 3.0: Functional equations in Mathematica Nonperturbative properties of Yang-Mills theories

Reference 17

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Observation ba01d44f-8eaa-4336-94e5-fc1bba90ecca · outbound

This paper cites Infrared singularities in Landau gauge Yang-Mills theory.

DoFun 3.0: Functional equations in Mathematica Infrared singularities in Landau gauge Yang-Mills theory

Reference 18

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Observation 755c62d3-5bb5-4323-b86d-fff13fbe6c2d · outbound

This paper cites The Universal RG Machine.

DoFun 3.0: Functional equations in Mathematica The Universal RG Machine

Reference 19

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Observation 5c6e422a-8b3f-44f4-8247-4470b94ba0e4 · outbound

This paper cites Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations.

DoFun 3.0: Functional equations in Mathematica Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations

Reference 20

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Observation f67878ad-5878-4c05-a118-256344134a87 · outbound

This paper cites FlowPy - a numerical solver for functional renormalization group equations.

DoFun 3.0: Functional equations in Mathematica FlowPy - a numerical solver for functional renormalization group equations

Reference 21

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Observation d38bf523-1f79-47bc-87d1-fa55d00aad7d · outbound

This paper cites CrasyDSE: A framework for solving Dyson-Schwinger equations.

DoFun 3.0: Functional equations in Mathematica CrasyDSE: A framework for solving Dyson-Schwinger equations

Reference 22

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Observation 4c7965a3-4b6e-44c2-aa7c-1ffe2eed25e6 · outbound

This paper cites FormTracer - A Mathematica Tracing Package Using FORM.

DoFun 3.0: Functional equations in Mathematica FormTracer - A Mathematica Tracing Package Using FORM

Reference 23

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Observation 9bfcdab7-a10d-447b-b393-3c9225d943c0 · outbound

This paper cites Group theory factors for Feynman diagrams.

DoFun 3.0: Functional equations in Mathematica Group theory factors for Feynman diagrams

Reference 24

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Observation aa45c500-8930-433d-915b-1677c593fe02 · outbound

This paper cites New features of FORM.

DoFun 3.0: Functional equations in Mathematica New features of FORM

Reference 25

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Observation 207ccc5b-119c-4136-a4cf-8f091a522ca3 · outbound

This paper cites FORM version 4.0.

DoFun 3.0: Functional equations in Mathematica FORM version 4.0

Reference 26

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Observation c3abd644-1a85-4923-be45-ae4249d368ec · outbound

This paper cites Code Optimization in FORM.

DoFun 3.0: Functional equations in Mathematica Code Optimization in FORM

Reference 27

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Observation 1e058489-b5ec-4afa-8728-6a047649b55a · outbound

This paper cites FORM version 4.2.

DoFun 3.0: Functional equations in Mathematica FORM version 4.2

Reference 28

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Observation 82c9201a-5d03-41cd-8f1e-840c90d4a382 · outbound

This paper cites Wiebusch, Comput.

DoFun 3.0: Functional equations in Mathematica Wiebusch, Comput

Reference 29

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Observation 38eb76fe-be20-4405-a0ef-c339a8fa703d · outbound

This paper cites Mertig, M.

DoFun 3.0: Functional equations in Mathematica Mertig, M

Reference 30

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Observation 0adf43ad-a2e7-455e-a163-ededb31af894 · outbound

This paper cites New Developments in FeynCalc 9.0.

DoFun 3.0: Functional equations in Mathematica New Developments in FeynCalc 9.0

Reference 31

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Observation 1171f444-bd72-4dda-a571-369b35ac5279 · outbound

This paper cites Shtabovenko, Comput.

DoFun 3.0: Functional equations in Mathematica Shtabovenko, Comput

Reference 32

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Observation 605ffb9f-0bbd-4413-a528-4235221d0b31 · outbound

This paper cites Infrared Behavior of Three-Point Functions in Landau Gauge Yang-Mills Theory.

DoFun 3.0: Functional equations in Mathematica Infrared Behavior of Three-Point Functions in Landau Gauge Yang-Mills Theory

Reference 33

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local_arxiv, observed 2026-08-14T14:40:16.359126Z

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Observation add47ab2-624b-4b4a-bf22-9141cdd755c2 · outbound

This paper cites On the infrared scaling solution of SU(N) Yang-Mills theories in the maximally Abelian gauge.

DoFun 3.0: Functional equations in Mathematica On the infrared scaling solution of SU(N) Yang-Mills theories in the maximally Abelian gauge

Reference 34

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Observation d0e7260e-0389-42f8-8584-d5d76edd5df4 · outbound

This paper cites Infrared analysis of Dyson-Schwinger equations taking into account the Gribov horizon in Landau gauge.

DoFun 3.0: Functional equations in Mathematica Infrared analysis of Dyson-Schwinger equations taking into account the Gribov horizon in Landau gauge

Reference 35

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Observation d4657e22-dce6-4eb9-a4b9-e2232b07b347 · outbound

This paper cites On the Infrared Behavior of Landau Gauge Yang-Mills Theory with a Fundamentally Charged Scalar Field.

DoFun 3.0: Functional equations in Mathematica On the Infrared Behavior of Landau Gauge Yang-Mills Theory with a Fundamentally Charged Scalar Field

Reference 36

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source=pdf_text observed=2026-08-14T14:40:14.873587Z digest=sha256:50022febc0533b81f05c3c36c5285c5fbf2966fea771828bc32f2b3be799b27d

Observation 54760ea6-6ec6-4d5d-9ebc-3f37557c61a5 · outbound

This paper cites A study of the influence of the gauge group on the Dyson-Schwinger equations for scalar-Yang-Mills systems.

DoFun 3.0: Functional equations in Mathematica A study of the influence of the gauge group on the Dyson-Schwinger equations for scalar-Yang-Mills systems

Reference 37

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Observation 3d675511-a748-424e-ad34-62d4314289f8 · outbound

This paper cites Alkofer, R.

DoFun 3.0: Functional equations in Mathematica Alkofer, R

Reference 38

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Observation 8519e672-525f-4849-a180-9c5ebe3baa58 · outbound

This paper cites Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results.

DoFun 3.0: Functional equations in Mathematica Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results

Reference 39

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Observation a505b071-5e7e-439a-9a86-832650eb9fe4 · outbound

This paper cites On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory.

DoFun 3.0: Functional equations in Mathematica On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory

Reference 40

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Observation f8398b90-bac0-4b51-93ca-21ab176f68fa · outbound

This paper cites Gluonic three-point correlations in pure Landau gauge QCD.

DoFun 3.0: Functional equations in Mathematica Gluonic three-point correlations in pure Landau gauge QCD

Reference 41

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Observation b7a99cb6-a440-4aa0-8a29-5957fd954e47 · outbound

This paper cites From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD.

DoFun 3.0: Functional equations in Mathematica From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD

Reference 42

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Observation bb35f03f-8908-409e-ab28-2ade4e172a79 · outbound

This paper cites Chiral symmetry breaking in continuum QCD.

DoFun 3.0: Functional equations in Mathematica Chiral symmetry breaking in continuum QCD

Reference 43

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Observation 76812cf0-388e-489e-9466-ca5c54c1e47e · outbound

This paper cites Vertex functions of Coulomb gauge Yang--Mills theory.

DoFun 3.0: Functional equations in Mathematica Vertex functions of Coulomb gauge Yang--Mills theory

Reference 44

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Observation bd430bdd-87f1-4ea0-97e1-328aad8cfde6 · outbound

This paper cites A Dyson-Schwinger study of the four-gluon vertex.

DoFun 3.0: Functional equations in Mathematica A Dyson-Schwinger study of the four-gluon vertex

Reference 45

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Observation f54d5c77-c866-4241-afeb-3deb83e82516 · outbound

This paper cites Spurious divergences in Dyson-Schwinger equations.

DoFun 3.0: Functional equations in Mathematica Spurious divergences in Dyson-Schwinger equations

Reference 46

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Observation 35cc4afc-7d3e-4bac-abf0-75360a4e2026 · outbound

This paper cites The Vacuum Structure of Vector Mesons in QCD.

DoFun 3.0: Functional equations in Mathematica The Vacuum Structure of Vector Mesons in QCD

Reference 47

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Observation ded828dd-d72f-4e02-86a3-0a3f18727ed9 · outbound

This paper cites On gluon and ghost propagators in linear covariant gauges.

DoFun 3.0: Functional equations in Mathematica On gluon and ghost propagators in linear covariant gauges

Reference 48

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Observation 234a0c57-4a78-4397-84bc-2d0faacc84bb · outbound

This paper cites Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations.

DoFun 3.0: Functional equations in Mathematica Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations

Reference 49

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Observation 99275a41-e345-4c22-a0a5-4c914cc39670 · outbound

This paper cites Landau gauge Yang-Mills correlation functions.

DoFun 3.0: Functional equations in Mathematica Landau gauge Yang-Mills correlation functions

Reference 50

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Observation b3c516a9-bdf3-459a-96ed-86412cb1b16b · outbound

This paper cites On non-primitively divergent vertices of Yang-Mills theory.

DoFun 3.0: Functional equations in Mathematica On non-primitively divergent vertices of Yang-Mills theory

Reference 51

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Observation bca81bd3-71a1-42b2-8d18-b7684c9a4d04 · outbound

This paper cites Non-perturbative quark, gluon and meson correlators of unquenched QCD.

DoFun 3.0: Functional equations in Mathematica Non-perturbative quark, gluon and meson correlators of unquenched QCD

Reference 52

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Observation ca292374-e845-488e-bd20-d92b29ac1a3f · outbound

This paper cites Correlation functions of three-dimensional Yang-Mills theory from the FRG.

DoFun 3.0: Functional equations in Mathematica Correlation functions of three-dimensional Yang-Mills theory from the FRG

Reference 53

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Observation 40d3c541-5044-48c6-b70d-54cc0b7ae8e0 · outbound

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DoFun 3.0: Functional equations in Mathematica Unresolved cited work

Reference 54

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Observation 7850c189-2575-4a12-beac-6dc79a29249d · outbound

This paper cites Non-perturbative finite-temperature Yang-Mills theory.

DoFun 3.0: Functional equations in Mathematica Non-perturbative finite-temperature Yang-Mills theory

Reference 55

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Observation b68d0199-dc53-44f8-95c7-c8f975d850ce · outbound

This paper cites Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories.

DoFun 3.0: Functional equations in Mathematica Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories

Reference 56

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Observation 21f0d131-9d7d-4116-a281-d16831e736c7 · outbound

This paper cites Symmetric nuclear matter from the strong interaction.

DoFun 3.0: Functional equations in Mathematica Symmetric nuclear matter from the strong interaction

Reference 57

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Observation be36e186-6a44-4a60-9f7a-f165280491a6 · outbound

This paper cites Fierz-complete NJL model study III: Emergence from quark-gluon dynamics.

DoFun 3.0: Functional equations in Mathematica Fierz-complete NJL model study III: Emergence from quark-gluon dynamics

Reference 58

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Observation b6026a2b-dcfe-4528-b290-0eecb85204e8 · outbound

This paper cites Exploring the Tan contact term in Yang-Mills theory.

DoFun 3.0: Functional equations in Mathematica Exploring the Tan contact term in Yang-Mills theory

Reference 59

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Observation e71362ce-776d-4891-a9ea-6e8fd9bfd195 · outbound

This paper cites Dense two-color QCD from Dyson-Schwinger equations.

DoFun 3.0: Functional equations in Mathematica Dense two-color QCD from Dyson-Schwinger equations

Reference 60

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Observation 22f897dc-b87c-4752-b6f4-1348435f084d · outbound

This paper cites Self-consistent Spectral Functions in the $O(N)$ Model from the FRG.

DoFun 3.0: Functional equations in Mathematica Self-consistent Spectral Functions in the $O(N)$ Model from the FRG

Reference 61

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source=pdf_text observed=2026-08-14T14:40:15.027455Z digest=sha256:b05102a13cd8e5452a67be8893415c425babae4f1bff2099262320acf8ebdd83

Observation bbe5790f-2887-4a8d-81d5-87baf993710d · outbound

This paper cites Finite temperature spectral functions in the O(N)-model.

DoFun 3.0: Functional equations in Mathematica Finite temperature spectral functions in the O(N)-model

Reference 62

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Observation b1a0d55f-a59f-45d0-bc76-38742d86417d · outbound

This paper cites Fierz-complete NJL model study: fixed points and phase structure at finite temperature and density.

DoFun 3.0: Functional equations in Mathematica Fierz-complete NJL model study: fixed points and phase structure at finite temperature and density

Reference 63

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Observation 488827db-8189-4a8e-af23-2d89ea2a8b40 · outbound

This paper cites Fierz-complete NJL model study II: towards the fixed-point and phase structure of hot and dense two-flavor QCD.

DoFun 3.0: Functional equations in Mathematica Fierz-complete NJL model study II: towards the fixed-point and phase structure of hot and dense two-flavor QCD

Reference 64

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Observation 2d97e213-faa5-4398-9cbd-8b8d3639ab8d · outbound

This paper cites Low-energy limit of the $O(4)$ quark-meson model from the functional renormalization group approach.

DoFun 3.0: Functional equations in Mathematica Low-energy limit of the $O(4)$ quark-meson model from the functional renormalization group approach

Reference 65

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Observation cf971c28-efc3-4244-a855-d92dc3baa8ec · outbound

This paper cites Bound state properties from the Functional Renormalisation Group.

DoFun 3.0: Functional equations in Mathematica Bound state properties from the Functional Renormalisation Group

Reference 66

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Observation 3ab8fa12-3fc2-4a1e-84d1-751f8a76aece · outbound

This paper cites Dynamical generation of low-energy couplings from quark-meson fluctuations.

DoFun 3.0: Functional equations in Mathematica Dynamical generation of low-energy couplings from quark-meson fluctuations

Reference 67

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Observation 513d8b0d-5896-46f0-be6e-487aff7b18d1 · outbound

This paper cites Towards apparent convergence in asymptotically safe quantum gravity.

DoFun 3.0: Functional equations in Mathematica Towards apparent convergence in asymptotically safe quantum gravity

Reference 68

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source=pdf_text observed=2026-08-14T14:40:15.074418Z digest=sha256:e87ea2055c42a20b5e32875f988f7da1fa0bf0a0cfa13a4549303f7f0f3568f4

Observation 476c3cba-31b8-4894-91fe-a8b8096904a3 · outbound

This paper cites Critical behavior of the (2+1)-dimensional Thirring model.

DoFun 3.0: Functional equations in Mathematica Critical behavior of the (2+1)-dimensional Thirring model

Reference 69

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Observation 1f3cdef6-09af-4a17-8284-01be176f635e · outbound

This paper cites xPert: Computer algebra for metric perturbation theory.

DoFun 3.0: Functional equations in Mathematica xPert: Computer algebra for metric perturbation theory

Reference 70

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Observation 7a7c884b-2287-4ce8-b202-51a7bbc0e931 · outbound

This paper cites Algorithmic derivation of Dyson-Schwinger Equations.

DoFun 3.0: Functional equations in Mathematica Algorithmic derivation of Dyson-Schwinger Equations

Reference 71

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source=pdf_text observed=2026-08-14T14:40:15.094780Z digest=sha256:4852e87ee5cd94c54b976dcf15b1c30919fd925bf45d51e318b865aa96900d49

Observation f480d81b-90a9-4227-8f0d-4efe8af930fe · outbound

This paper cites Wetterich, Phys.

DoFun 3.0: Functional equations in Mathematica Wetterich, Phys

Reference 72

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source=pdf_text observed=2026-08-14T14:40:15.107311Z digest=sha256:2c57b05a9b1c8b802eb23382a8763fefa6edae92b025b734d899d4f2217b1468

Observation 17687a54-62b4-40a6-ac2d-df68f40a989f · outbound

This paper cites an unresolved cited work.

DoFun 3.0: Functional equations in Mathematica Unresolved cited work

Reference 73

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source=pdf_text observed=2026-08-14T14:40:15.113174Z digest=sha256:ae67cf9524ee765e9b25821b21e7f13071620aec6a7a3b6729ce75388205c04e

Observation f46cc089-8105-40c4-8e10-ab62238b70cd · outbound

This paper cites Haas, Spectral functions in finite temperature SU(3) gauge theory and appli- cations to transport phenomena, 2014.

DoFun 3.0: Functional equations in Mathematica Haas, Spectral functions in finite temperature SU(3) gauge theory and appli- cations to transport phenomena, 2014

Reference 74

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source=pdf_text observed=2026-08-14T14:40:15.118323Z digest=sha256:95e9e648c3cbdc9cebd24164c142d535ec12608fece48ef4e1d66283766c3407

Pith citing papers

Observation ab66b279-c1d5-4df5-8061-0e1abb0558cd · inbound

Functional renormalization of QCD in $1 + 1$ dimensions: four-fermion interactions from quark-gluon dynamics cites this paper.

Functional renormalization of QCD in $1 + 1$ dimensions: four-fermion interactions from quark-gluon dynamics DoFun 3.0: Functional equations in Mathematica

Reference 135

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A beginner's guide to functional methods in particle physics cites this paper.

A beginner's guide to functional methods in particle physics DoFun 3.0: Functional equations in Mathematica

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Scalar diquarks in the QCD vacuum cites this paper.

Scalar diquarks in the QCD vacuum DoFun 3.0: Functional equations in Mathematica

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