Year: 1999
Type: preprint
Abstract: We show how to calculate the quantum mass correction to (1+1)D solitonic field theories using numerical methods. This is essential if we want to find the corrections to non-integrable models. We start with a review of the standard derivation of the first order quantum correction. Then, we re-derive a trace formula which allows us to compute the mass correction mode by mode. Specifically, we are interested in the extent to which the lowest modes from both, the soliton and the vacuum, sectors give the leading contribution. We apply the technique to both the Sine-Gordon and the $ϕ^4$-kink model. Then, we compute all the modes numerically and hence the first order quantum contribution to the mass of the Sine-Gordon and $ϕ^4$ soliton.
Source: arXiv (Cornell University)
Author: Weidig, Tom
Institution: Durham University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W83105284