BV-BRST Noether theorem
Glenn Barnich, Laurent Baulieu, Marc Henneaux, Tom Wetzstein
TL;DR
This paper proves the triviality of the BRST Noether current in gauge theories without restrictions on their structure, extending previous results and clarifying its relation to the BRST master current.
Contribution
It provides two general proofs of the BRST Noether theorem and explicitly relates the BRST Noether current to the BRST master current.
Findings
Proves the triviality of the BRST Noether current in general gauge theories.
Extends previous proofs to theories with non-linear solutions of the master equation.
Clarifies the relationship between BRST Noether current and BRST master current.
Abstract
The BRST Noether theorem, or ``Noether's 1.5 theorem'', asserts the triviality of the BRST Noether current. We provide two proofs of this theorem that are both valid without restriction on the structure of the gauge theory, extending thereby previous proofs holding in the case of gauge theories for which the solution of the master equation is linear in the antifields. We also relate explicitly the BRST Noether current to the BRST master current appearing in the master equation.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Quantum Chromodynamics and Particle Interactions