Regularization of multi-soliton form factors in sine-Gordon model

TL;DR

This paper introduces a systematic regularization method for solitonic form factors in the sine-Gordon model, enabling precise calculations through analytical continuation and implementation in Mathematica, with tests on multi-soliton form factors.

Contribution

It presents a novel regularization technique for solitonic form factors in the sine-Gordon model using analytical continuation, improving computational accuracy.

Findings

Regularization method successfully applied to four- and six-soliton form factors.

Implementation in Mathematica facilitates practical calculations.

Method enhances the analytical and numerical study of solitonic form factors.

Abstract

A general and systematic regularization is developed for the exact solitonic form factors of exponential operators in the (1+1)-dimensional sine-Gordon model by analytical continuation of their integral representations. The procedure is implemented in Mathematica. Test results are shown for four- and six- soliton form factors.