Kink mass quantum shifts from SUSY quantum mechanics

TL;DR

This paper introduces a novel version of the DHN formula utilizing SUSY quantum mechanics to calculate one-loop quantum corrections to kink masses in scalar field theories, enabling analysis of previously inaccessible models.

Contribution

A new DHN formula variant based on SUSY spectral data that extends the calculation of kink mass quantum shifts to new models.

Findings

Successfully applied to models previously inaccessible

Provides a more efficient computational method

Enhances understanding of quantum corrections in scalar field theories

Abstract

In this paper a new version of the DHN (Dashen-Hasslacher-Neveu) formula, which is used to compute the one-loop order kink mass correction in (1+1)-dimensional scalar field theory models, is constructed. The new expression is written in terms of the spectral data coming from the supersymmetric partner operator of the second-order small kink fluctuation operator and allows us to compute the kink mass quantum shift in new models for which this calculation was out of reach by means of the old formula.