Generalized zeta functions, shape invariance and one-loop corrections to quantum Kink masses

TL;DR

This paper introduces a method to compute one-loop quantum corrections to kink masses in 1+1 dimensional field theories with shape-invariant potentials, utilizing generalized zeta function regularization.

Contribution

It develops a novel approach combining shape invariance and zeta function regularization for precise quantum kink mass calculations.

Findings

Successful calculation of one-loop kink mass corrections

Application of generalized zeta functions to shape-invariant potentials

Enhanced accuracy in quantum kink mass predictions

Abstract

We present a method to calculate the One-loop mass correction to Kinks mass in a (1+1)-dimensional field theoretical model in which the fluctuation potential $V^{\prime\prime}(\phi_c)$ has shape invariance property. We use the generalized zeta function regularization method to implement our setup for describing quantum kink states.