Quantum BRST charge in gauge theories in curved space-time

DOI10.1063/1.5054129zbMATH Open1406.81067arXiv1703.04148OpenAlexW2963888596WikidataQ128501786 ScholiaQ128501786MaRDI QIDQ4621259

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Publication date: 11 February 2019

Published in: (Search for Journal in Brave)

Abstract: Renormalized gauge-invariant observables in gauge theories form an algebra which is obtained as the cohomology of the derivation $[extbf{Q}_L,-]$ with $extbf{Q}_L$ the renormalized interacting quantum BRST charge. For a large class of gauge theories in Lorentzian globally hyperbolic space-times, we derive an identity in renormalized perturbation theory which expresses the commutator $[extbf{Q}_L,-]$ in terms of a new nilpotent quantum BRST differential and a new quantum anti-bracket 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 model-independent fashion.

Full work available at URL: https://arxiv.org/abs/1703.04148

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