Pauli-Villars Regularization in nonperturbative Hamiltonian approach on the Light Front

TL;DR

This paper discusses the application of Pauli-Villars regularization in nonperturbative light-front Hamiltonian quantum field theory, demonstrating its effectiveness through simple scalar and Yukawa models, and a modified anharmonic oscillator example.

Contribution

It introduces a nonperturbative approach using Pauli-Villars regularization in light-front quantized quantum field theories with practical examples.

Findings

Pauli-Villars regularization effectively manages divergences in light-front QFT.

Nonperturbative calculations are feasible with ghost variables similar to Pauli-Villars fields.

Illustrative models show the practical implementation of the regularization method.

Abstract

The advantage of Pauli-Villars regularization in quantum field theory quantized on the light front is explained. Simple examples of scalar $\lambda\varphi^4$ field theory and Yukawa-type model are used. We give also an example of nonperturbative calculation in the theory with Pauli-Villars fields, using for that a model of anharmonic oscillator modified by inclusion of ghost variables playing the role similar to Pauli-Villars fields.