Batalin-Vilkovisky Integrals in Finite Dimensions

Details Batalin-Vilkovisky Integrals in Finite Dimensions Batalin-Vilkovisky Integrals in Finite Dimensions

2008-12-02

arxiv.org/abs/0812.0464v1

Physics

Mathematical Physics

35 pages

Scientific paper

The Batalin-Vilkovisky method (BV) is the most powerful method to analyze functional integrals with (infinite-dimensional) gauge symmetries presently known. It has been invented to fix gauges associated with symmetries that do not close off-shell. Homological Perturbation Theory is introduced and used to develop the integration theory behind BV and to describe the BV quantization of a Lagrangian system with symmetries. Localization (illustrated in terms of Duistermaat-Heckman localization) as well as anomalous symmetries are discussed in the framework of BV.

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