Massless Thirring fermion fields in the boson field representation

TL;DR

This paper demonstrates that the boson field representation of massless fermions in the Thirring model aligns with the existence of a chirally broken phase, clarifying the model's phase structure in a divergence-free quantum field theory framework.

Contribution

It establishes the complete agreement between the boson field representation and the chirally broken phase in the massless Thirring model within a divergence-free quantum field theory.

Findings

Boson representation matches the chirally broken phase.

Supports the divergence-free quantum field theory formulation.

Confirms the phase structure of the massless Thirring model.

Abstract

We show that the boson field representation of the massless fermion fields, suggested by Morchio, Pierotti and Strocchi in J. Math. Phys. 33, 777 (1992) for the operator solution of the massless Thirring model, agrees completely with the existence of the chirally broken phase in the massless Thirring model revealed in EPJC 20, 723 (2001) and hep-th/0112183, when the free massless boson fields are described by the quantum field theory, free of infrared divergences in 1+1-dimensional space-time, formulated in hep-th/0112184 and hep-th/0204237.