Quantisation of Global Isospin in the Skyrme Crystal

Abstract

A quantisation of chiral symmetry within the Skyrme crystal is carried out. The definition of global isospin in the crystal is explored, and found to be ambiguous. However, the state corresponding to a neutron crystal is identified, and the leading quantum correction to the classical mass is computed. The results are compared to those of Klebanov for a crystal of whole skyrmions.

Comments: uuencoded Latex source plus 3 included .eps files. The latex (or postscript) original can be obtained directly by emailing pykim@python.swan.ac.uk