Massless Thirring model in canonical quantization scheme

TL;DR

This paper demonstrates that the massless Thirring model's exact solvability in canonical quantization stems from its linearizable Heisenberg equations, highlighting the importance of inequivalent free Dirac field representations.

Contribution

It reveals the fundamental reason behind the model's solvability and clarifies the role of inequivalent representations in the canonical quantization approach.

Findings

Exact solvability linked to linearizability of equations

Role of inequivalent Dirac field representations clarified

Canonical quantization approach applied successfully

Abstract

It is shown that the exact solvability of the massless Thirring model in the canonical quantization scheme originates from the intrinsic linearizability of its Heisenberg equations in the method of dynamical mappings. The corresponding role of inequivalent representations of free massless Dirac field is elucidated.