The SU(2) × SU(2) chiral spin model in terms of SO(3) and Z2 variables. Vortices and disorder

Tamás G. Kovács, E. T. Tomboulis

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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.

Original languageEnglish
Pages (from-to)75-79
Number of pages5
JournalPhysics Letters B
Volume321
Issue number1-2
DOIs
Publication statusPublished - Jan 20 1994

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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