A Technique for Calculating Quantum Corrections to Solitons
Chris Barnes, Neil Turok
TL;DR
This paper introduces a numerical method to compute quantum corrections to solitons of any shape, applicable in various dimensions, demonstrated through a 1+1 dimensional test case.
Contribution
The authors develop a versatile numerical scheme for calculating quantum corrections to static solitons, including complex and higher-dimensional cases.
Findings
Successfully reproduces analytical results in 1+1 dimensions
Applicable to solitons of arbitrary shape and in higher dimensions
Efficient numerical implementation with minimal effort
Abstract
We present a numerical scheme for calculating the first quantum corrections to the properties of static solitons. The technique is applicable to solitons of arbitrary shape, and may be used in 3+1 dimensions for multiskyrmions or other complicated solitons. We report on a test computation in 1+1 dimensions, where we accurately reproduce the analytical result with minimal numerical effort.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Physics of Superconductivity and Magnetism · Cold Atom Physics and Bose-Einstein Condensates