Quantum BRST charge in gauge theories in curved spacetime
Abstract
Renormalized gaugeinvariant observables in gauge theories form an algebra which is obtained as the cohomology of the derivation $[\textbf{Q}_L, ]$ with $\textbf{Q}_L$ the renormalized interacting quantum BRST charge. For a large class of gauge theories in Lorentzian globally hyperbolic spacetimes, we derive an identity in renormalized perturbation theory which expresses the commutator $[\textbf{Q}_L, ]$ in terms of a new nilpotent quantum BRST differential and a new quantum antibracket which differ from their classical counterparts by certain quantum corrections. This identity enables us to prove different manifestations of gauge symmetry preservation at the quantum level in a modelindependent fashion.
 Publication:

arXiv eprints
 Pub Date:
 March 2017
 arXiv:
 arXiv:1703.04148
 Bibcode:
 2017arXiv170304148T
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Mathematical Physics
 EPrint:
 41 pages, 1 figure, v3: Intoduction rewritten, Proposition 14 replaced by Lemma 14, Theorem 16 omitted, Theorem 18 replaced by Theorem 16 and its proof corrected, lemma 11 replaced by Theorem 19, comparison with RG flow equation added, Results unchanged