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Batalin-Vilkovisky formalism as a theory of integration for polyvectors

The Batalin-Vilkovisky (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.

preprint2016arXivOpen access
Pierre J. ClavierViet Dang Nguyen
math-phmath.MP
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Pierre J. ClavierViet Dang Nguyen

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