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Batalin-Vilkovisky integrals in finite dimensions

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.3278524· OSTI ID:21335894
; ;  [1]
  1. Theoretical Physics, ETH-Hoenggerberg, CH-8093 Zuerich (Switzerland)
The Batalin-Vilkovisky (BV) method 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.
OSTI ID:
21335894
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 1 Vol. 51; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

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