Regularization and Anomalies in Gauge Theory
Kazuo Fujikawa (Department of Physics, University of Tokyo)
TL;DR
This paper reviews fundamental issues of regularization and anomalies in gauge theory, emphasizing recent lattice gauge theory developments, and compares different regularization methods for chiral Abelian theories.
Contribution
It provides a comparative analysis of covariant regularization techniques and lattice formulations for gauge theories, highlighting recent advancements.
Findings
Generalized Pauli-Villars regularization aligns with covariant current regularization.
Lattice gauge theory offers a non-perturbative approach to anomalies.
Comparison clarifies the advantages of lattice methods over traditional regularization.
Abstract
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.
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Taxonomy
TopicsGeophysics and Sensor Technology · Advanced Numerical Analysis Techniques · Geophysics and Gravity Measurements