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Soft breaking of BRST symmetry and gauge dependence · Around

2012

Soft breaking of BRST symmetry and gauge dependence

Lavrov, P. M., Radchenko, O. V., Reshetnyak, A. A.

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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.

Built on

B.S. DeWitt, Dynamical theory of groups and fields
1965
Earlier work this paper cites.
V.N. Gribov, Quantization of nonabelian gauge theories
1978
Earlier work this paper cites.
B.L. Voronov, P.M. Lavrov and I.V. Tyutin, Canonical transformations and gauge dependence in general gauge theories
1982
Earlier work this paper cites.

Similar

I.A. Batalin and G.A. Vilkovisky, Gauge algebra and quantization
1983
Cited alongside, same era.
D. Zwanziger, Action from the Gribov horizon
1989
Cited alongside, same era.
D. Zwanziger, Local and renormalizable action from the Gribov horizon
1989
Cited alongside, same era.

Then

M.A.L. Capri, A.J. Gómes, M.S. Guimaraes, V.E.R. Lemes, S.P. Sorellao and D.G. Tedesko, A remark on the BRST symmetry in the Gribov-Zwanzider theory
Original
2009
Later among the works it cites.
P. Lavrov, O. Lechtenfeld and A. Reshetnyak, Is soft breaking of BRST symmetry consistent?
Original
2011
Later among the works it cites.

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