Regularization and the BV Formalism

Details Regularization and the BV Formalism Regularization and the BV Formalism

1993-07-20

arxiv.org/abs/hep-th/9307126v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pp., preprint version of talk at Strings '93, Berkeley, preprint KUL-TF-93/32

Scientific paper

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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