SO (3) vortices as a mechanism for generating a mass gap in the 2D SU (2) principal chiral model
Abstract
We propose a mechanism that can create a mass gap in the SU(2) chiral spin model at arbitrarily small temperatures. We give a sufficient condition for the mass gap to be nonzero in terms of the behaviour of an external Z(2) flux introduced by twisted boundary conditions. This condition in turn is rewritten in terms of an effective dual Ising model with an external magnetic field generated by SO(3) vortices. We show that having a nonzero magnetic field in the effective Ising model is sufficient for the SU(2) system to have a mass gap. We also show that certain vortex correlation inequalities, if satisfied, would imply a nonzero effective magnetic field. Finally, we give some plausibility arguments and Monte Carlo evidence for the required correlation inequalities.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/S05503213(96)005615
 arXiv:
 arXiv:heplat/9603022
 Bibcode:
 1996NuPhB.482..613K
 Keywords:

 High Energy Physics  Lattice;
 Condensed Matter;
 High Energy Physics  Theory
 EPrint:
 33 pages, LaTeX2e, all figures included in LaTeX format