A brief introduction to nonperturbative calculations in light-front QED

TL;DR

This paper introduces a nonperturbative approach using light-front quantization and Pauli-Villars regularization to solve quantum electrodynamics, demonstrated by calculating the electron's anomalous magnetic moment with a truncated Fock basis.

Contribution

It presents a novel nonperturbative method for gauge theories, applying light-front QED with a specific regularization scheme to compute physical observables.

Findings

Successful calculation of the electron's anomalous magnetic moment.

Validation of the nonperturbative method in a gauge theory context.

Regularization preserving chiral symmetry is crucial for accurate results.

Abstract

A nonperturbative method for the solution of quantum field theories is described in the context of quantum electrodynamics and applied to the calculation of the electron's anomalous magnetic moment. The method is based on light-front quantization and Pauli-Villars regularization. The application to light-front QED is intended as a test of the methods in a gauge theory, as a precursor to possible methods for the nonperturbative solution of quantum chromodynamics. The electron state is truncated to include at most two photons and no positrons in the Fock basis, and the wave functions of the dressed state are used to compute the electrons's anomalous magnetic moment. A choice of regularization that preserves the chiral symmetry of the massless limit is critical for the success of the calculation.