Anomalies in Time-Ordered Products and Applications to the BV–BRST Formulation of Quantum Gauge Theories

@article{Frb2019AnomaliesIT,
  title={Anomalies in Time-Ordered Products and Applications to the BV–BRST Formulation of Quantum Gauge Theories},
  author={Markus B. Fr{\"o}b},
  journal={Communications in Mathematical Physics},
  year={2019}
}
  • M. Fröb
  • Published 27 March 2018
  • Mathematics
  • Communications in Mathematical Physics
We show that every (graded) derivation on the algebra of free quantum fields and their Wick powers in curved spacetimes gives rise to a set of anomalous Ward identities for time-ordered products, with an explicit formula for their classical limit. We study these identities for the Koszul-Tate and the full BRST differential in the BV-BRST formulation of perturbatively interacting quantum gauge theories, and clarify the relation to previous results. In particular, we show that the quantum BRST… 

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