SO(3) vortices and disorder in the 2d SU(2) chiral model

T. Kovács, E. T. Tomboulis

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Abstract

We study the correlation function of the 2d SU(2) principal chiral model on the lattice. By rewriting the model in terms of Z(2) degrees of freedom coupled to SO(3) vortices we show that the vortices play a crucial role in disordering the correlations at low temperature. Using a series of exact transformations we prove that, if satisfied, certain inequalities between vortex correlations imply exponential fall-off of the correlation function at arbitrarily low temperatures. We also present some Monte Carlo evidence that these correlation inequalities are indeed satisfied. Our method can be easily translated to the language of 4d SU(2) gauge theory to examine the role of corresponding SO(3) monopoles in maintaining confinement at small coupling.

Original languageEnglish
Pages (from-to)254-258
Number of pages5
JournalPhysics Letters B
Volume367
Issue number1-4
Publication statusPublished - Jan 18 1996

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disorders
vortices
monopoles
gauge theory
degrees of freedom

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

SO(3) vortices and disorder in the 2d SU(2) chiral model. / Kovács, T.; Tomboulis, E. T.

In: Physics Letters B, Vol. 367, No. 1-4, 18.01.1996, p. 254-258.

Research output: Contribution to journalArticle

Kovács, T & Tomboulis, ET 1996, 'SO(3) vortices and disorder in the 2d SU(2) chiral model', Physics Letters B, vol. 367, no. 1-4, pp. 254-258.
Kovács, T. ; Tomboulis, E. T. / SO(3) vortices and disorder in the 2d SU(2) chiral model. In: Physics Letters B. 1996 ; Vol. 367, No. 1-4. pp. 254-258.
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