Regularization and the BV Formalism

Walter Troost; Antoine Van Proeyen

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arXiv · hep-th/9307126

Regularization and the BV Formalism

Walter Troost·Antoine Van Proeyen

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Abstract

We summarize the application of the field--antifield formalism to the quantization of gauge field theories. After the gauge fixing, the main issues are the regularization and anomalies. We illustrate this for chiral $W_3$ gravity. We discuss also gauge theories with a non-local action, induced by a matter system with an anomaly. As an illustration we use induced WZW models, including a discussion of non--local regularization, the importance of the measure and regularization of multiple loops. In these theories antifields become propagating --- one of many roles assigned to them in the BV formalism.

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Walter Troost, Antoine Van Proeyen. 1993-07-20. Regularization and the BV Formalism. https://arxiv.org/abs/hep-th/9307126

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