Finite nilpotent symmetry in Batalin-Vilkovisky formalism

Details Finite nilpotent symmetry in Batalin-Vilkovisky formalism Finite nilpotent symmetry in Batalin-Vilkovisky formalism

2010-09-29

arxiv.org/abs/1009.5859v1

Europhys.Lett.92:21001,2010

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, To appear in EuroPhysics Letters(Fast track)

Scientific paper

10.1209/0295-5075/92/21001

We consider the Batalin-Vilkovisky formulation of both 1-form and 2-form gauge theories, in the context of generalized BRST transformations with finite field dependent parameter. In the usual Faddeev-Popov formulation of gauge theories such finite field dependent BRST (FFBRST) transformations do not leave the generating functionals invariant as the path integral measure changes in a non-trivial way for a finite transformations. Here we show that FFBRST transformation, with appropriate choice of finite field-dependent parameter, is symmetry of the generating functionals in the Batalin-Vilkovisky formalism. The finite parameter is chosen in such a way that the contribution from the Jacobian of the path integral measure is adjusted with gauge fixed fermions which do not change the generating functionals. Several examples for such a finite parameters are constructed.

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