On the Connection between Pauli-Villars and Higher Derivative Regularizations

TL;DR

This paper explores the relationship between higher derivative regularization and Pauli-Villars regularization, demonstrating their equivalence in certain cases for spinor fields, which could unify different regularization approaches.

Contribution

It establishes a connection between higher derivative and Pauli-Villars regularizations, showing their equivalence in specific scenarios for gauge-invariant regularization of spinor fields.

Findings

Higher derivative regularization can be equivalent to Pauli-Villars regularization in some cases.

The equivalence maintains gauge invariance for spinor fields.

Provides insights into unifying different regularization methods.

Abstract

It is shown that in some cases higher (covariant) derivative regularization for spinor field is equivalent to the gauge invariant Pauli-Villars one.