Soft breaking of BRST symmetry and gauge dependence
P. M. Lavrov, O. V. Radchenko, A. A. Reshetnyak
TL;DR
This paper studies the effects of softly breaking BRST symmetry within the BV formalism, revealing that such breaking causes gauge dependence issues and leads to inconsistencies in the standard approach.
Contribution
It generalizes the definition of soft BRST breaking for all gauge theories and gauge fixings, and analyzes the resulting gauge dependence and formal inconsistencies.
Findings
Soft BRST breaking induces gauge dependence in Green's function generating functionals.
The conventional BV formalism becomes inconsistent with soft BRST breaking.
The paper extends previous work beyond dimensional regularization methods.
Abstract
We continue investigation of soft breaking of BRST symmetry in the Batalin-Vilkovisky (BV) formalism beyond regularizations like dimensional ones used in our previous paper [JHEP 1110 (2011) 043, arXiv:1108.4820 [hep-th]]. We generalize a definition of soft breaking of BRST symmetry valid for general gauge theories and arbitrary gauge fixing. The gauge dependence of generating functionals of Green's functions is investigated. It is proved that such introduction of a soft breaking of BRST symmetry into gauge theories leads to inconsistency of the conventional BV formalism.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.