Radiative corrections to the mass of the Kink: a small modification due to the different renormalization procedure

TL;DR

This paper calculates the quantum correction to the kink mass in 1+1 dimensional $^4$ theory using a novel renormalization method, resulting in a small adjustment to prior results, with further revisions underway.

Contribution

It introduces an alternative renormalization procedure combined with mode number cutoff for computing quantum corrections to soliton masses.

Findings

Small correction to previous kink mass calculations

Results demonstrate the impact of different renormalization schemes

Further revisions are in progress for clearer emphasis on renormalization

Abstract

We compute of the lowest order quantum radiative correction to the mass of the kink in $\phi^4$ theory in 1+1 dimensions using an alternative renormalization procedure which has been introduced earlier. We use the standard mode number cutoff in conjunction with the above program. Our results show a small correction to the previously reported values.[The paper has been withdraw by the authors because a new version is been written to better emphasize on renormalization in problems with nontrivial background. The new version has been submitted by our new co-author (arXiv:1205.2775).]