Regularization and Anomalies in Gauge Theory

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Some of the basic issues related to the regularization and anomalies in gauge theory are reviewed, with particular emphasis on the recent development in lattice gauge theory. The generalized Pauli-Villars regularization is discussed from a view point of the covariant regularization of currents, and the construction of a regularized effective action in terms of covariant currents is compared with the lattice formulation of chiral Abelian theory.
14 pages. Talk given at NATO Advanced Research Workshop ``Lattice Fermions and Structure of the Vacuum'', October 5-9, 1999, at Dubna, Russia (To be published in the Proceedings)

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