Application of Pauli-Villars Regularization and Discretized Light-Cone Quantization to a (3+1)-Dimensional Model

TL;DR

This paper demonstrates a nonperturbative approach to solving a (3+1)-dimensional quantum field theory model using Pauli-Villars regularization and discretized light-cone quantization, enabling calculation of detailed physical properties.

Contribution

It introduces a novel combination of Pauli-Villars regularization with discretized light-cone quantization for nonperturbative solutions in higher-dimensional models.

Findings

Calculated Fock-sector wave functions for the lowest-mass state

Determined average multiplicities and momenta of constituents

Computed structure functions and form factor slope

Abstract

We apply Pauli-Villars regularization and discrete light-cone quantization to the nonperturbative solution of a (3+1)-dimensional model field theory. The matrix eigenvalue problem is solved for the lowest-mass state with use of the complex symmetric Lanczos algorithm. This permits the calculation of each Fock-sector wave function, and from these we obtain values for various quantities, such as average multiplicities and average momenta of constituents, structure functions, and a form factor slope.