BatalinVilkovisky formalism as a theory of integration for polyvectors
Abstract
The BatalinVilkovisky (BV) formalism is a powerful generalization of the BRST approach of gauge theories and allows to treat more general field theories. We will see how, starting from the case of a finite dimensional configuration space, we can see this formalism as a theory of integration for polyvectors over the shifted cotangent bundle of the configuration space, and arrive at a formula that admits a generalization to the infinite dimensional case. The process of gauge fixing and the observables of the theory will be presented.
 Publication:

arXiv eprints
 Pub Date:
 September 2016
 DOI:
 10.48550/arXiv.1609.02326
 arXiv:
 arXiv:1609.02326
 Bibcode:
 2016arXiv160902326C
 Keywords:

 Mathematical Physics
 EPrint:
 11 pages, uses Tikz, to be published in the proceedings of the 2015 Villa de Leyva summer school