SO(3) vortices and disorder in the 2d SU(2) principal 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 establish the role of corresponding SO(3) monopoles in maintaining confinement at small couplings.

Original languageEnglish
Pages (from-to)290-293
Number of pages4
JournalNuclear Physics B - Proceedings Supplements
Volume47
Issue number1-3
DOIs
Publication statusPublished - Mar 1996

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disorders
vortices
monopoles
gauge theory
degrees of freedom

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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

In: Nuclear Physics B - Proceedings Supplements, Vol. 47, No. 1-3, 03.1996, p. 290-293.

Research output: Contribution to journalArticle

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