Remarks on Local Symmetry Invariance in Perturbative Algebraic Quantum Field Theory

Kasia Rejzner

doi:10.1007/s00023-014-0312-x

Remarks on Local Symmetry Invariance in Perturbative Algebraic Quantum Field Theory

Kasia Rejzner

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate various aspects of invariance under local symmetries in the framework of perturbative algebraic quantum field theory (pAQFT). Our main result is the proof that the quantum Batalin–Vilkovisky operator, on-shell, can be written as the commutator with the interacting BRST charge. Up to now, this was proven only for a certain class of fields in quantum electrodynamics and in Yang–Mills theory. Our result is more general and it holds in a wide class of theories with local symmetries, including general relativity and the bosonic string. We also comment on other issues related to local gauge invariance and, using the language of homological algebra, we compare different approaches to quantization of gauge theories in the pAQFT framework.

Original language	English
Pages (from-to)	205-238
Number of pages	34
Journal	Annales Henri Poincare
Volume	16
Issue number	1
Early online date	2 Feb 2014
DOIs	https://doi.org/10.1007/s00023-014-0312-x
Publication status	Published - Jan 2015

Bibliographical note

© 2014 Springer Basel. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.

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10.1007/s00023-014-0312-x

Gauge-invariance
© 2014 Springer Basel. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.
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Cite this

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