Form factors of soliton-creating operators in the sine-Gordon model

TL;DR

This paper provides explicit formulas for the form factors of soliton-creating operators in the sine-Gordon model, enabling precise analysis of correlation functions and their asymptotics in related models.

Contribution

It introduces explicit expressions for the normalization constants of soliton-creating operators, linking short- and long-distance correlation behaviors in integrable models.

Findings

Explicit form factors for soliton-creating operators are derived.

Predictions for asymptotic behaviors of fermion correlations in related models.

Normalization constants facilitate exact correlation function analysis.

Abstract

We propose explicit expressions for the form factors, including their normalization constants, of topologically charged (or soliton-creating) operators in the sine-Gordon model. The normalization constants, which constitute the main content of our proposal, allow one to find exact relations between the short- and long-distance asymptotics of the correlation functions. We make predictions concerning asymptotics of fermion correlation functions in the massive Thirring model, SU(2)-Thirring model with anisotropy, and in the half-filled Hubbard chain.