One-loop corrections to the instanton transition in the two-dimensional Abelian Higgs model

TL;DR

This paper evaluates the one-loop quantum corrections to the instanton transition rate in the two-dimensional Abelian Higgs model, showing that these corrections can significantly alter the transition rate within a specific mass ratio range.

Contribution

It provides a detailed calculation of the fluctuation determinant affecting instanton transition rates, highlighting the impact of quantum corrections in the model.

Findings

Corrections can change the transition rate by up to a factor of 2.

The impact varies with the W to H mass ratio between 0.4 and 2.0.

Quantum fluctuations significantly influence instanton-mediated processes.

Abstract

We present an evaluation of the fluctuation determinant which appears as a prefactor in the instanton transition rate for the two-dimensional Abelian Higgs model. The corrections are found to change the rate at most by a factor of 2 for 0.4 < M_W/M_H < 2.0.