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Paper Citation Record · LEDGER

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory

As of 11 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 3 inbound Pith citation observations for arXiv:2501.00286.

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

pith.paper-citation-record.v1
2501.00286 v4

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:01:09.582007Z

measured 45 of 45 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:56:29.029318Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-05-18T03:22:21.205116Z

Reference resolution

42 of 42 outbound references displayed

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  • verified fuzzy1
  • unresolved33
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Outbound references

Observation f8e90d59-dbcc-4bf4-9570-732c6ee15d98 · outbound

This paper cites ’t Hooft, Nucl.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory ’t Hooft, Nucl

Reference 1

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source=pdf_text observed=2026-08-10T23:01:09.299371Z digest=sha256:3cf874af71e2306692f641fa207c602216c50a4f7ede4ff046ea6b165cbf61bd

Observation 659daeaa-76d9-4378-b802-28295a924eb6 · outbound

This paper cites $\theta=\pi$ in $SU(N)/\mathbb{Z}_N$ gauge theories.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory $\theta=\pi$ in $SU(N)/\mathbb{Z}_N$ gauge theories

Reference 2

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Observation 33d5afd5-b302-4915-91f8-ed7752532b5e · outbound

This paper cites Center vortex and confinement in Yang-Mills theory and QCD with anomaly-preserving compactifications.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Center vortex and confinement in Yang-Mills theory and QCD with anomaly-preserving compactifications

Reference 3

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Observation 6f80fe39-c734-4704-94ca-bb6c33c83915 · outbound

This paper cites Study of gapped phases of 4d gauge theories using temporal gauging of the $\mathbb{Z}_N$ 1-form symmetry.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Study of gapped phases of 4d gauge theories using temporal gauging of the $\mathbb{Z}_N$ 1-form symmetry

Reference 4

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Observation 97967f74-c9be-47ae-a6c9-6217ccaaca4f · outbound

This paper cites Generalized Global Symmetries.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Generalized Global Symmetries

Reference 5

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Observation 913e7a22-c066-40cc-95a8-f91aeb21a966 · outbound

This paper cites Theta, Time Reversal, and Temperature.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Theta, Time Reversal, and Temperature

Reference 6

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source=pdf_text observed=2026-08-10T23:01:09.333445Z digest=sha256:01fa86312a2a9e147b7e42d98c2135d8a11dbeb667c0581bfd59574945c8f62d

Observation df4b2547-4f42-4688-92e0-eef562f63090 · outbound

This paper cites From 4d Yang-Mills to 2d $\mathbb{CP}^{N-1}$ model: IR problem and confinement at weak coupling.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory From 4d Yang-Mills to 2d $\mathbb{CP}^{N-1}$ model: IR problem and confinement at weak coupling

Reference 7

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source=pdf_text observed=2026-08-10T23:01:09.341623Z digest=sha256:71610a09d5544323cabe4ac19f3a1e20f065ff011b424bc3ee08980ae568afe5

Observation 4dcd87ff-cee8-4f03-9877-2e6a8fd105fe · outbound

This paper cites Semiclassical analysis of the bifundamental QCD on $\mathbb{R}^2\times T^2$ with 't Hooft flux.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Semiclassical analysis of the bifundamental QCD on $\mathbb{R}^2\times T^2$ with 't Hooft flux

Reference 8

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Observation bdf7de41-053b-4ca8-b886-7b154ec83933 · outbound

This paper cites Semiclassics for the QCD vacuum structure through $T^2$-compactification with the baryon-'t Hooft flux.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Semiclassics for the QCD vacuum structure through $T^2$-compactification with the baryon-'t Hooft flux

Reference 9

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source=pdf_text observed=2026-08-10T23:01:09.357316Z digest=sha256:10bf4ad3e24087cf2ae51d83eaf12bc00da573f1c91bea1e2b0e90ebb889e1e2

Observation 4b07d423-85bb-4fb9-a8e2-66ada580987a · outbound

This paper cites Unifying Monopole and Center Vortex as the Semiclassical Confinement Mechanism.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Unifying Monopole and Center Vortex as the Semiclassical Confinement Mechanism

Reference 10

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Observation fb593ae6-b2be-4652-a2a3-3d928a3c7548 · outbound

This paper cites Monopole-vortex continuity of ${\mathcal N}=1$ super Yang-Mills theory on $\mathbb{R}^2 \times S^1 \times S^1$ with 't Hooft twist.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Monopole-vortex continuity of ${\mathcal N}=1$ super Yang-Mills theory on $\mathbb{R}^2 \times S^1 \times S^1$ with 't Hooft twist

Reference 11

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Observation 62f34d91-1a80-47f7-9cda-fd8e4d415be8 · outbound

This paper cites Topology of $SU(N)$ lattice gauge theories coupled with $\mathbb{Z}_N$ $2$-form gauge fields.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Topology of $SU(N)$ lattice gauge theories coupled with $\mathbb{Z}_N$ $2$-form gauge fields

Reference 12

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source=pdf_text observed=2026-08-10T23:01:09.377858Z digest=sha256:1adc39ea57d2483babf54cc3b296dc1bf7c1b269bc82a26bad00dc00e13c79a4

Observation 78f03bb0-0306-4b8d-abe8-97d63422c2c9 · outbound

This paper cites ’t Hooft, Commun.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory ’t Hooft, Commun

Reference 13

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Observation 85da6768-940f-4d1d-9525-2dc6ec97e1e7 · outbound

This paper cites van Baal, Commun.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory van Baal, Commun

Reference 14

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Observation 9a9a9cbd-acda-43e3-baee-61e0fb4d8b48 · outbound

This paper cites an unresolved cited work.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Unresolved cited work

Reference 15

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Observation f0f7b083-2a13-4675-93ef-a365bcd2ff9f · outbound

This paper cites Creutz and K.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Creutz and K

Reference 16

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Observation a4e63cea-b312-4050-8f63-da77239ac91a · outbound

This paper cites Evidence for fractional topological charge in SU(2) pure Yang-Mills theory.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Evidence for fractional topological charge in SU(2) pure Yang-Mills theory

Reference 17

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Observation acf211e1-3d5b-4079-a3e9-6649ca754d34 · outbound

This paper cites de Forcrand and O.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory de Forcrand and O

Reference 18

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Observation 38cf6346-3ba1-4995-be50-15ec8995ae06 · outbound

This paper cites Computation of the Vortex Free Energy in SU(2) Gauge Theory.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Computation of the Vortex Free Energy in SU(2) Gauge Theory

Reference 19

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Observation cf54271d-baee-47d1-bcb2-df22965de3d9 · outbound

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Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Unresolved cited work

Reference 20

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Observation bdaddf84-fb99-4076-b154-81b79238455e · outbound

This paper cites Duane, A.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Duane, A

Reference 21

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Observation e4684e4c-ee98-487c-a313-c01591d79a93 · outbound

This paper cites Theta dependence of SU(N) gauge theories.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Theta dependence of SU(N) gauge theories

Reference 22

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Observation a5ab8a28-7949-4be0-ab15-c9f4ac4cf690 · outbound

This paper cites Critical slowing down and error analysis in lattice QCD simulations.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Critical slowing down and error analysis in lattice QCD simulations

Reference 23

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Observation 4ff0eabf-9aea-4704-9bf5-c45c158ebcfb · outbound

This paper cites Full QCD with milder topological freezing.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Full QCD with milder topological freezing

Reference 24

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Observation 4c3c98f4-d1cd-406a-b989-8ec579ab8e89 · outbound

This paper cites Lattice QCD without topology barriers.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Lattice QCD without topology barriers

Reference 25

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Observation 40e5e988-be10-4d5b-a5f8-4584eae77763 · outbound

This paper cites Topological charge using cooling and the gradient flow.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Topological charge using cooling and the gradient flow

Reference 26

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Observation ca033a26-5d8e-494c-b7fc-0c6aa7e4c5ec · outbound

This paper cites Properties and uses of the Wilson flow in lattice QCD.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Properties and uses of the Wilson flow in lattice QCD

Reference 27

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Observation 953c5960-7a86-4d2d-8dc2-c4493d8370d7 · outbound

This paper cites Coupling a QFT to a TQFT and Duality.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Coupling a QFT to a TQFT and Duality

Reference 28

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Observation 7dd87e39-8d16-4a07-a267-7e6e5bd43930 · outbound

This paper cites Mack and V.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Mack and V

Reference 29

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Observation 21622c9f-4456-4247-afd1-ffae0a99a983 · outbound

This paper cites Ukawa, P.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Ukawa, P

Reference 30

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Observation af850f8f-e3fb-4b0d-bbfa-be8ab514c16f · outbound

This paper cites Seiler, Lect.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Seiler, Lect

Reference 31

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source=pdf_text observed=2026-08-10T23:01:09.517198Z digest=sha256:849c527507bbf60261ade793b8c0003e04c85a8be29c77592d7e1f63417fa8e9

Observation ee1eaebd-c32f-4e85-b5fe-3f8849b05c65 · outbound

This paper cites JuliaQCD: Portable lattice QCD package in Julia language.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory JuliaQCD: Portable lattice QCD package in Julia language

Reference 32

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Observation 208d4a8a-893d-4433-8ceb-42e430c1b99a · outbound

This paper cites Fractional topological charge in lattice Abelian gauge theory.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Fractional topological charge in lattice Abelian gauge theory

Reference 33

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Observation 4550adf2-3a9d-474d-9cab-6c6843577463 · outbound

This paper cites Glueball masses and other physical properties of SU(N) gauge theories in D=3+1: a review of lattice results for theorists.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Glueball masses and other physical properties of SU(N) gauge theories in D=3+1: a review of lattice results for theorists

Reference 34

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Observation f7ec031f-b243-42a2-b129-0a23fa2d30ce · outbound

This paper cites L¨ uscher, Commun.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory L¨ uscher, Commun

Reference 35

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Observation 118d5133-b54a-42dd-ba0f-1b0f68c0c0de · outbound

This paper cites Perturbative analysis of the gradient flow in non-abelian gauge theories.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Perturbative analysis of the gradient flow in non-abelian gauge theories

Reference 36

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This paper cites Proof of the renormalizability of the gradient flow.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Proof of the renormalizability of the gradient flow

Reference 37

Resolution
verified exact
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Observation 72f05247-88bd-4a4f-9d90-7fce82ce8954 · outbound

This paper cites Locality properties of Neuberger's lattice Dirac operator.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Locality properties of Neuberger's lattice Dirac operator

Reference 38

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Observation 976cede0-d05d-4436-b33e-34d200a2e264 · outbound

This paper cites L¨ uscher, Comput.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory L¨ uscher, Comput

Reference 39

Resolution
verified exact
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Observation 595b0bbe-cc0b-47a9-8cac-1b1e83090ff0 · outbound

This paper cites Curci and G.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Curci and G

Reference 40

Resolution
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Observation b84c87ac-96be-4312-be74-5121a08ac6a6 · outbound

This paper cites Kouno, Y.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Kouno, Y

Reference 41

Resolution
verified exact
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Observation bcbcb5f4-1fd6-4ce9-8b73-52c6af4140a9 · outbound

This paper cites Lattice study on QCD-like theory with exact center symmetry.

Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory Lattice study on QCD-like theory with exact center symmetry

Reference 42

Resolution
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Pith citing papers

Observation 3e56aaca-285b-4b65-890c-2dd6bfe723b5 · inbound

Direct Monte Carlo Computation of the 't~Hooft Partition Function cites this paper.

Direct Monte Carlo Computation of the 't~Hooft Partition Function Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory

Reference 17

Resolution
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no resolver link, observed 2026-08-10T20:56:29.029318Z

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Observation c23ccb08-9d20-4bbc-a12b-e6f50d96be29 · inbound

Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\mathbb{Z}_N$ 2-form gauge fields cites this paper.

Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\mathbb{Z}_N$ 2-form gauge fields Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory

Reference 11

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Observation 684fec29-ec30-4e82-9d67-3973b456bb98 · inbound

Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory cites this paper.

Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory

Reference 36

Resolution
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arxiv_id, observed 2026-05-18T03:22:21.207750Z

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