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Renormalization of gauge invariant operators and anomalies in Yang-Mills theory

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G. Barnich, M. Henneaux

High Energy Physics - Theory · Submitted 29 Dec 1993

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

The authors' main claim A long-standing conjecture on the structure of renormalized, gauge invariant, integrated operators of arbitrary dimension in Yang-Mills theory is established.

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arXiv IDhep-th/9312206 (version 1)
Pith IDO6QVGON4, Pith's permanent record of this paper and its review
CitationG. Barnich, M. Henneaux. "Renormalization of gauge invariant operators and anomalies in Yang-Mills theory." arXiv:hep-th/9312206 (1993). https://pith.science/paper/O6QVGON4
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,156 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.17 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.14 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

A long-standing conjecture on the structure of renormalized, gauge invariant, integrated operators of arbitrary dimension in Yang-Mills theory is established. The general solution of the consistency condition for anomalies with sources included is also derived. This is achieved by computing explicitely the cohomology of the full unrestricted BRST operator in the space of local polynomial functionals with ghost number equal to zero or one. The argument does not use power counting and is purely cohomological. It relies crucially on standard properties of the antifield formalism.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 A long-standing conjecture on the structure of renormalized, gauge invariant, integrated operators of arbitrary dimension in Yang-Mills theory is established. result 0.86 0.90 0.81 asserted 1.00
s1 The general solution of the consistency condition for anomalies with sources included is also derived. result 0.94 0.94 0.18 asserted 1.00
s2 This is achieved by computing explicitely the cohomology of the full unrestricted BRST operator in the space of local polynomial functionals with ghost number equal to zero or one. method 1.00 0.94 0.08 asserted 1.00
s3 The argument does not use power counting and is purely cohomological. method 0.93 0.87 0.04 asserted 1.00
s4 It relies crucially on standard properties of the antifield formalism. method 0.96 0.52 0.03 asserted 1.00

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

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  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

A long-standing conjecture on the structure of renormalized, gauge invariant, integrated operators of arbitrary dimension in Yang-Mills theory is established. The general solution of the consistency condition for anomalies with sources included is also derived. This is achieved by computing explicitely the cohomology of the full unrestricted BRST operator in the space of local polynomial functionals with ghost number equal to zero or one. The argument does not use power counting and is purely cohomological. It relies crucially on standard properties of the antifield formalism.

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References
How the literature uses it

6 arXiv papers cite this in 9 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 citing it · 7 sentences without a confident label

Uses its method or tool 2 papers
  • This relies on the evaluation of the cohomology $H_F(S_0)$ [ref] of the nilpotent operator $S_0$ in the space $F$ of Lorentz- and global $SU(2)$-invariant local functionals with dimension bounded by the power-counting. $H_F(S_0)$ is defined as the quotient of the latter functional space w.r.t. to the equivalence relation

    Ambiguity-free formulation of the Higgs-Kibble model · Recursive Removal of the UV Divergences · 0.94

  • One way to solve this problem is to compute the cohomology $H_F(S_0)$ [ref] of the nilpotent operator $S_0$ in the space $F$ of Lorentz- and global $SU(2)$-invariant local functionals with dimension bounded by the power-counting. $H_F(S_0)$ is defined as the quotient of the latter functional space w.r.t. to the equivalence relation

    Renormalization of the Yang-Mills theory in the ambiguity-free gauge · Solution of the Linearized Functional Identity · 0.90

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