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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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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| 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 |
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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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