Batalin-Vilkovisky Integrals in Finite Dimensions
Mathematical Physics
2014-11-18 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0812.0464,
title = {Batalin-Vilkovisky Integrals in Finite Dimensions},
author = {Carlo Albert and Bea Bleile and Jürg Fröhlich},
journal= {arXiv preprint arXiv:0812.0464},
year = {2014}
}
Comments
35 pages