Parity-Preserving Pauli-Villars Regularization in (2+1)-Dimensional Gauge Models

TL;DR

This paper demonstrates that a specific parity-preserving Pauli-Villars regularization scheme in (2+1)-dimensional QED yields consistent results, but ambiguity issues persist in non-Abelian models like QCD$_{3}$.

Contribution

It introduces and validates a parity-preserving Pauli-Villars regularization method for (2+1)-dimensional QED, highlighting its consistency with other schemes.

Findings

Consistent results with other regularization schemes in QED$_{3}$

Ambiguity problems remain in non-Abelian models like QCD$_{3}$

Supports parity-preserving regularization approaches

Abstract

It is shown that, in QED$_{3}$, the Pauli-Villars regularization involving a pair of auxiliary fermion fields with masses of opposite sign leads to results that are consistent with those obtained using all other parity-preserving schemes of regularization. At the same time, ambiguity problems remain unsolved in non-Abelian models (QCD$_{3}$).