QED_2 Light-Front Hamiltonian reproducing all orders of covariant chiral perturbation theory

TL;DR

This paper constructs a Light-Front Hamiltonian for (1+1)-dimensional QED that reproduces all orders of covariant chiral perturbation theory, providing a new non-perturbative approach.

Contribution

It introduces a novel Light-Front Hamiltonian for QED in 1+1 dimensions that matches covariant chiral perturbation theory to all orders.

Findings

Perturbation theory from the LF Hamiltonian is equivalent to covariant chiral perturbation theory.

The LF Hamiltonian explicitly depends on chiral condensate parameters.

The approach offers a new framework for non-perturbative analysis of QED.

Abstract

Light-Front (LF) Hamiltonian for QED in (1+1)-dimensions is constructed using the boson form of this model with additional Pauli-Villars type ultraviolet regularization. Perturbation theory, generated by this LF Hamiltonian, is proved to be equivalent to usual covariant chiral perturbation theory. The obtained LF Hamiltonian depends explicitly on chiral condensate parameters which enter in a form of some coupling constants.