The SU(2) × SU(2) chiral spin model in terms of SO(3) and Z2 variables: vortices and disorder
Tamás G. Kovaács, E. T. Tomboulis
Abstract
We rewrite the two-dimensional SU(2)× SU(2) chiral spin model in terms of SO(3) and Z2 degrees of freedom. The transformation, which is motivated by a similar representation of the corresponding lattice gauge theory in higher dimensions, exhibits the presence of dynamical SO(3) vortices and associated strings. We present arguments that (pairs of) SO(3) vortices with long strings play a crucial role in disordering the spin system at arbitrarily low temperatures.
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