A note on one-loop soliton quantum mass corrections

TL;DR

This paper presents a new derivation method for calculating finite, scheme-independent one-loop quantum mass corrections of solitons in (1+1)-dimensional scalar field theories, ensuring unambiguous results.

Contribution

It introduces an alternative regularization approach that simplifies the calculation and guarantees scheme independence of the quantum mass corrections.

Findings

Derived a finite, unambiguous formula for quantum mass corrections

Ensured scheme independence of the results

Provided a practical regularization method for soliton quantum corrections

Abstract

We develop an alternative derivation of the renormalized expression for the one-loop soliton quantum mass corrections in (1+1)-dimensional scalar field theories. We regularize implicitly such quantity by subtracting and adding its corresponding tadpole graph contribution and use the renormalization prescription that such added term vanishes with adequate counterterms. As a result, we get a finite unambiguous formula for the soliton quantum mass corrections up to one-loop order, which turns to be independent of the chosen regularization scheme.