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. (Full text available)

PDF (Finkelstein-Rubenstein constraints)
Download (235kB)
Official URL


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 > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Steffen Krusch
Date Deposited: 02 Sep 2008 23:31
Last Modified: 05 Sep 2011 23:48
Resource URI: (The current URI for this page, for reference purposes)
  • Depositors only (login required):


Downloads per month over past year