Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 1-31 |
| Journal | Journal of Mathematical Physics |
| Volume | 51 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2010 |
Keywords
- Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory
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