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Perturbative Gauge Anomalies in the Hamiltonian Formalism: A Cohomological Analysis

High Energy Physics - Theory · Submitted 26 Oct 1993

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

The authors' main claim The analysis provides a completely gauge and regularisation independent proof of Faddeev's conjecture on the relationship between gauge anomalies and Schwinger terms in the context of descent equations.

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arXiv IDhep-th/9310167 (version 1)
Pith IDIUHQDK57, Pith's permanent record of this paper and its review
CitationG. Barnich. "Perturbative Gauge Anomalies in the Hamiltonian Formalism: A Cohomological Analysis." arXiv:hep-th/9310167 (1993). https://pith.science/paper/IUHQDK57
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,608 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.84 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

The quantum action principle of renormalisation theory is applied to the antibracket-antifield formalism for Hamiltonian systems. General results on the local BRST cohomology allow one to prove that the anomalies appear in the time development of the BRST charge and violate the nilpotency of this charge. Furthermore they are equivalent to those of the Lagrangian formalism. The analysis provides a completely gauge and regularisation independent proof of Faddeev's conjecture on the relationship between gauge anomalies and Schwinger terms in the context of descent equations.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The quantum action principle of renormalisation theory is applied to the antibracket-antifield formalism for Hamiltonian systems. method 0.86 0.72 0.03 asserted 0.97
s1 General results on the local BRST cohomology allow one to prove that the anomalies appear in the time development of the BRST charge and violate the nilpotency of this charge. result 1.00 0.79 0.50 asserted 1.00
s2 Furthermore they are equivalent to those of the Lagrangian formalism. result 0.96 0.69 0.16 asserted 1.00
s3 The analysis provides a completely gauge and regularisation independent proof of Faddeev's conjecture on the relationship between gauge anomalies and Schwinger terms in the context of descent equations. result 0.79 0.91 0.54 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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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

The quantum action principle of renormalisation theory is applied to the antibracket-antifield formalism for Hamiltonian systems. General results on the local BRST cohomology allow one to prove that the anomalies appear in the time development of the BRST charge and violate the nilpotency of this charge. Furthermore they are equivalent to those of the Lagrangian formalism. The analysis provides a completely gauge and regularisation independent proof of Faddeev's conjecture on the relationship between gauge anomalies and Schwinger terms in the context of descent equations.

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