Quantum Field Theory as Effective BV Theory from Chern-Simons

Details Quantum Field Theory as Effective BV Theory from Chern-Simons Quantum Field Theory as Effective BV Theory from Chern-Simons

2006-03-26

arxiv.org/abs/hep-th/0603201v3

Nucl.Phys.B806:529-566,2009; Nucl.Phys.B806:529-566,2008

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 15 figures, references added. Body of paper authored by Dmitry Krotov, Andrei Losev, appendix written with A.Goroden

Scientific paper

10.1016/j.nuclphysb.2008.07.021

The general procedure for obtaining explicit expressions for all cohomologies of N.Berkovits's operator is suggested. It is demonstrated that calculation of BV integral for the classical Chern-Simons-like theory (Witten's OSFT-like theory) reproduces BV version of two dimensional gauge model at the level of effective action. This model contains gauge field, scalars, fermions and some other fields. We prove that this model is an example of "singular" point from the perspective of the suggested method for cohomology evaluation. For arbitrary "regular" point the same technique results in AKSZ(Alexandrov, Kontsevich, Schwarz, Zaboronsky) version of Chern-Simons theory (BF theory) in accord with [2,3].

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