Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-18T00:03:12.023221Z
Paper Citation Record · LEDGER
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions
As of 12 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2511.04509.
A citation records a reference. It does not transfer a finding from one paper to another.
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Pith citing papers itemized under the disclosed page cap.
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Source: cited_works
Reference resolution
40 of 40 outbound references displayed
- verified exact1
- verified fuzzy39
- unresolved0
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- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a569d24b-356d-40db-a2aa-cce4ebd503a6 · outbound
This paper cites Triviality proof for mean-fieldφ 4 4-theories.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Triviality proof for mean-fieldφ 4 4-theories
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.304288Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 31be58ab-5c56-4820-9d6f-819e30fec2a1 · outbound
This paper cites Asymptotically Free Solutions of the Scalar Mean Field Flow Equations.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Asymptotically Free Solutions of the Scalar Mean Field Flow Equations
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.323201Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 40fdbe04-9474-4888-941a-d1ef7be1bc17 · outbound
This paper cites Divergence of the perturbation theory series and quasi-classical theory.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Divergence of the perturbation theory series and quasi-classical theory
Reference 3
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- raw_fallback, observed 2026-05-18T00:05:32.316268Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f5f5594e-eeb2-4d4f-a242-d552c571950c · outbound
This paper cites Can We Make Sense Out of “Quantum Chromodynamics.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Can We Make Sense Out of “Quantum Chromodynamics
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.306767Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7b58a37a-987e-445e-ad57-2be13016da67 · outbound
This paper cites Decay properties and Borel summability for the Schwinger functions inP(ϕ) 2 theories.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Decay properties and Borel summability for the Schwinger functions inP(ϕ) 2 theories
Reference 5
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- raw_fallback, observed 2026-05-18T00:05:32.320951Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3b2a9e41-2db5-4952-8df4-24ac75c6c4d6 · outbound
This paper cites Glimm and A.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Glimm and A
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.302011Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 035b0d4e-f364-40f4-abbb-b90938c48b37 · outbound
This paper cites Local existence of the Borel transform in Euclideanφ 4 4.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Local existence of the Borel transform in Euclideanφ 4 4
Reference 7
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- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.311598Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7ffd61f0-5c1d-4ec7-89d2-bce9ea00e1da · outbound
This paper cites Bounds on renormalized Feynman graphs.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Bounds on renormalized Feynman graphs
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.318634Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cdb546c2-0341-4941-ac68-c5f580133d87 · outbound
This paper cites Feldman et al.QED: A proof of renormalizability, Lecture notes in Physics.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Feldman et al.QED: A proof of renormalizability, Lecture notes in Physics
Reference 9
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- raw_fallback, observed 2026-05-18T00:05:32.270807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 05383791-fccc-4da4-aabd-de8343bef019 · outbound
This paper cites Construction and Borel summability of planar4-dimensional Euclidean field theory.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Construction and Borel summability of planar4-dimensional Euclidean field theory
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.273112Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0ace7b2b-b057-417c-9a2a-04a690ecd799 · outbound
This paper cites Renormalization of spontaneously brokenSU(2)Yang–Mills theory with flow equations.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Renormalization of spontaneously brokenSU(2)Yang–Mills theory with flow equations
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.292821Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a20aedb4-4f83-4c82-88e7-5b5dc8155bd0 · outbound
This paper cites Renormalization of SU(2) Yang–Mills theory with flow equations.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Renormalization of SU(2) Yang–Mills theory with flow equations
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.277962Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4a83004d-487e-4ee5-8b55-bf6e0d2269a0 · outbound
This paper cites Perturbative Renormalization with Flow Equations in Minkowski Space.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Perturbative Renormalization with Flow Equations in Minkowski Space
Reference 13
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- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.280606Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0520e980-46dd-4ae9-b247-8df26cb2105c · outbound
This paper cites Local Borel summability of Euclideanφ 4 in four-dimensions: A Simple proof via differential flow equations.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Local Borel summability of Euclideanφ 4 in four-dimensions: A Simple proof via differential flow equations
Reference 14
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- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.288270Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fa13a732-5a59-4b5c-9d8b-e15df4704980 · outbound
This paper cites Renormalization Group Equation for Critical Phenomena.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Renormalization Group Equation for Critical Phenomena
Reference 15
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- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.294984Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0ed8ee2e-120b-499d-932b-15b8c47dafc8 · outbound
This paper cites On the Local Borel Transform of Perturbation Theory.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions On the Local Borel Transform of Perturbation Theory
Reference 16
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 373fbd95-8ed9-4d54-8dfe-a2489cf22cac · outbound
This paper cites Construction of Gross-Neveu model using Polchinski flow equation.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Construction of Gross-Neveu model using Polchinski flow equation
Reference 17
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 258fc2f7-b3f9-4815-9aac-5ab3f268d621 · outbound
This paper cites Constructing a weakly-interacting fixed point of the fermionic Polchinski equation.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Constructing a weakly-interacting fixed point of the fermionic Polchinski equation
Reference 18
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- raw_fallback, observed 2026-05-18T00:05:32.297695Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dc90c98e-f826-46aa-ab22-7cfc483c1106 · outbound
This paper cites Proof of the Triviality ofφ 4 d Field Theory and Some Mean-Field Features of Ising models ford >4.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Proof of the Triviality ofφ 4 d Field Theory and Some Mean-Field Features of Ising models ford >4
Reference 19
- Resolution
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- raw_fallback, observed 2026-05-18T00:05:32.275499Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 29f714e8-0a72-41b1-b95b-6c4c05ba90f5 · outbound
This paper cites On the triviality ofλϕ 4 4 theories and the approach to the critical point ind≥4 dimensions.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions On the triviality ofλϕ 4 4 theories and the approach to the critical point ind≥4 dimensions
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.263405Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 45ed6469-b6c0-42e8-9b18-b6058f9b3c8e · outbound
This paper cites Marginal triviality of the scaling limits of critical 4D Ising andϕ 4 4 models.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Marginal triviality of the scaling limits of critical 4D Ising andϕ 4 4 models
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.265874Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7529d449-b1e7-41f3-a164-1b8528278d71 · outbound
This paper cites A geometric perspective on the scaling limits of critical Ising andϕ 4 d models.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions A geometric perspective on the scaling limits of critical Ising andϕ 4 d models
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.268515Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 24cd624d-8bc7-4062-aab6-6f4622b4bfe9 · outbound
This paper cites Some Special Examples in Renormalizable Field Theory.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Some Special Examples in Renormalizable Field Theory
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.285684Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7eff055c-d594-4eaf-9df3-e1198097fd20 · outbound
This paper cites Perturbative Renormalization by Flow Equations.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Perturbative Renormalization by Flow Equations
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.255332Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ebbf7190-6bda-43fe-9332-4acc22810307 · outbound
This paper cites Functional analysis and probability theory.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Functional analysis and probability theory
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.257830Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f341773e-cf9f-4234-b636-a106e03b2f35 · outbound
This paper cites Memoire sur la theorie des equations aux derivees partielles et la methode des approximations successives.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Memoire sur la theorie des equations aux derivees partielles et la methode des approximations successives
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.260804Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4e6c1957-07bd-4ea0-9d11-feb936e1cf45 · outbound
This paper cites Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.252518Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3ffedd1f-e35f-43d9-9cb2-5a8daae930d6 · outbound
This paper cites Bauerschmidt, D.C.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Bauerschmidt, D.C
Reference 28
- Resolution
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- raw_fallback, observed 2026-05-18T00:05:32.245351Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 88273b40-897c-4cef-9e5e-c274d6f4dfb4 · outbound
This paper cites Widder.The Laplace Transform.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Widder.The Laplace Transform
Reference 29
- Resolution
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- raw_fallback, observed 2026-05-18T00:05:32.247750Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 14583c07-fdf3-4138-9f99-5d637bc4312f · outbound
This paper cites A theory of asymptotic series.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions A theory of asymptotic series
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.249938Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cfb6cf59-6a6b-4dc9-88e8-a6057bd03516 · outbound
This paper cites Nevanlinna.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Nevanlinna
Reference 31
- Resolution
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- raw_fallback, observed 2026-05-18T00:05:32.237946Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3a9547c7-fb76-4db5-ba78-d6566c04fca9 · outbound
This paper cites An improvement of Watson’s theorem on Borel summability.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions An improvement of Watson’s theorem on Borel summability
Reference 32
- Resolution
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- raw_fallback, observed 2026-05-18T00:05:32.313876Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation eb324557-19f4-43f9-935e-cc8b52cc34bc · outbound
This paper cites Glimm and A.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Glimm and A
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.327894Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8d760b5d-2311-4287-a850-dc9cba80bf2c · outbound
This paper cites Note sur une nouvelle formule de calcul différentiel.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Note sur une nouvelle formule de calcul différentiel
Reference 34
- Resolution
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- raw_fallback, observed 2026-05-18T00:05:32.309221Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ec57ab8c-be8b-4618-b53b-9c39388e0e4e · outbound
This paper cites Comtet.Advanced Combinatorics.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Comtet.Advanced Combinatorics
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.325597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 286ecb29-87d3-4114-8ac0-68864ffc55a9 · outbound
This paper cites The number of rrderings of n candidates when ties are permitted.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions The number of rrderings of n candidates when ties are permitted
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.330428Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e53d1d96-38cd-4e53-a454-cece7e1681f9 · outbound
This paper cites Riordan arrays and combinatorial sums.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Riordan arrays and combinatorial sums
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.240525Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d388ef48-d457-496d-ad5e-e913a7dd52cf · outbound
This paper cites Preferential Arrangements.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Preferential Arrangements
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.299918Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b113cba0-70e2-40b4-a4dd-cb5bb71e3b71 · outbound
This paper cites The hypercube of resistors, asymptotic expansions, and preferential arrange- ments.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions The hypercube of resistors, asymptotic expansions, and preferential arrange- ments
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.243122Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fba84712-206d-41ce-ad94-38899ce10324 · outbound
This paper cites Convolutions of Tribonacci, Fuss-Catalan, and Motzkin sequences.
Triviality vs perturbation theory: an analysis for mean-field $\varphi^4$-theory in four dimensions Convolutions of Tribonacci, Fuss-Catalan, and Motzkin sequences
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T00:05:32.283245Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
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