Massless Sine-Gordon and Massive Thirring Models: proof of the Coleman's equivalence

TL;DR

This paper proves Coleman's conjecture, establishing the equivalence between the massless Sine-Gordon model and the massive Thirring model in finite volume, confirming a fundamental theoretical connection in quantum field theory.

Contribution

The paper provides a rigorous proof of the Coleman's conjecture, demonstrating the equivalence between two important models in quantum field theory in finite volume.

Findings

Confirmed the equivalence between the models in finite volume

Provided a rigorous mathematical proof of Coleman's conjecture

Strengthened the theoretical foundation of quantum field models

Abstract

We prove the Coleman's conjecture on the equivalence between the massless Sine-Gordon model with finite volume interaction and the Thirring model with a finite volume mass term.