Finkelstein-Rubinstein constraints for the Skyrme model with pion masses

Krusch, Steffen (2006) Finkelstein-Rubinstein constraints for the Skyrme model with pion masses. Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, 462 (2071). pp. 2001-2016. ISSN 1364-5021. (doi:https://doi.org/10.1098/rspa.2006.1664) (Full text available)

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Abstract

The Skyrme model is a classical field theory modelling the strong interaction between atomic nuclei. It has to be quantized in order to compare it to nuclear physics. When the Skyrme model is semi-classically quantized it is important to take the Finkelstein-Rubinstein constraints into account. Recently, a simple formula has been derived to calculate the these constraints for Skyrmions which are well-approximated by rational maps. However, if a pion mass term is included in the model, Skyrmions of sufficiently large baryon number are no longer well-approximated by the rational map ansatz. This paper addresses the question how to calculate Finkelstein-Rubinstein constraints for Skyrme configurations which are only known numerically.

Item Type:	Article
Additional information:	Full-text freely available via Official URL link.
Uncontrolled keywords:	Skyrmions quantization Finkelstein–Rubinstein constraints
Subjects:	Q Science > QA Mathematics (inc Computing science)
Divisions:	Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User:	Steffen Krusch
Date Deposited:	02 Sep 2008 23:31 UTC
Last Modified:	18 Jan 2017 09:10 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/6053 (The current URI for this page, for reference purposes)