# Quantum BRST charge in gauge theories in curved space-time

@article{TaslimiTehrani2019QuantumBC,
title={Quantum BRST charge in gauge theories in curved space-time},
author={Mojtaba Taslimi Tehrani},
journal={Journal of Mathematical Physics},
year={2019}
}
Renormalized gauge-invariant 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 space-times, 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 anti-bracket… Expand
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