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High Energy Physics - Phenomenology · arXiv:hep-ph/0403108 v2 · submitted 10 Mar 2004

Gauge invariant effective action for the Polyakov line in the SU(N) Yang–Mills theory at high temperatures

Dmitri Diakonov, Michaela Oswald

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The paper says

“By assuming that the gluon fields are slowly varying but allowing for an arbitrary amplitude of A_4 we obtain two variants of the effective high-temperature theory for the Polyakov line.”

from the abstract · picked out as the main claim by a classifier

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The paper

Abstract

We integrate out fast varying quantum fluctuations around static A_4 and A_i fields for the SU(N) gauge group. By assuming that the gluon fields are slowly varying but allowing for an arbitrary amplitude of A_4 we obtain two variants of the effective high-temperature theory for the Polyakov line. One is the effective action for the gauge-invariant eigenvalues of the Polyakov line, and it is explicitly Z(N) symmetric. The other is the effective action for the Polyakov line itself as an element of the SU(N). In this case the theory necessarily includes the spatial components A_i to ensure its gauge invariance under spatial gauge transformations. We derive the 1-loop effective action in the `electric' and `magnetic' sectors, summing up all powers of A_4.

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abstract compiled · 2026-09-23 · no language-model review

How the main claim is stated: asserted 0.99

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.27 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.06 · mentions code or data availability 0.02

The abstract, sentence by sentence

This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.

SentenceRoleThe authors' own workStates the main conclusionStrength
We integrate out fast varying quantum fluctuations around static A_4 and A_i fields for the SU(N) gauge group. method 0.94 0.94 0.06 asserted 0.99
By assuming that the gluon fields are slowly varying but allowing for an arbitrary amplitude of A_4 we obtain two variants of the effective high-temperature theory for the Polyakov line. method 0.85 0.86 0.19 asserted 0.99
One is the effective action for the gauge-invariant eigenvalues of the Polyakov line, and it is explicitly Z(N) symmetric. result 0.74 0.87 0.23 asserted 1.00
The other is the effective action for the Polyakov line itself as an element of the SU(N). contribution 0.65 0.82 0.13 asserted 0.99
In this case the theory necessarily includes the spatial components A_i to ensure its gauge invariance under spatial gauge transformations. result 0.51 0.63 0.13 asserted 1.00
We derive the 1-loop effective action in the `electric' and `magnetic' sectors, summing up all powers of A_4. contribution 0.46 0.96 0.18 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00

What was examined, and what was not

Sources read

  • arXiv listing abstract v2

Not examined

  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers

Levels run

  • P abstract

Not run

  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

How the labels were made

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,886 input tokens, $0.0002 reported.

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON

Cited by 4 Pith papers

Reviewed papers on Pith that cite this one. The full citation record

  1. Confining ensemble of dyons hep-th · Apr 2007
  2. Two-loop QCD gauge coupling at high temperatures hep-ph · Mar 2005
  3. Renormalized Polyakov loops in many representations hep-lat · Nov 2007
  4. Topology and confinement hep-ph · Jun 2009
How the literature uses it

3 arXiv papers cite this in 4 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

Papers citing it · 2 sentences without a confident label

Cites it as support 2 papers
  • However, terms with gradients of $μ$'s in the effective action become negative near “trivial” holonomy, signalling its instability even in perturbation theory [ref] .

    Statistical physics of dyons and quark confinement · Yang–Mills theory at nonzero temperatures · 0.97

  • However, terms with gradients of $μ$'s in the effective action become negative near “trivial” holonomy, signalling its instability even in perturbation theory [ref] .

    Topology and confinement · YANG–MILLS THEORY AT NONZERO TEMPERATURES · 0.97

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