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Beta-functions for a SU(2) Matrix Model in 2 + epsilon Dimensions

2005/12/31 by Michaela Oswald, Robert D. Pisarski · 1 citation
Physics and Astronomy · #hep-ph

paper · pdf · doi:10.1103/physrevd.74.045029

published as Phys.Rev. D74 (2006) 045029 · Published version; added discussion of hep-ph/0608242

arxiv created 2006/09/19 · arxiv updated 2009/12/01

Abstract

To investigate the non-perturbative, electric sector of a deconfined gauge theory at nonzero temperature, we consider a SU(2) matrix model. We compute beta-functions to one loop order for the simplest extension of the O(4) nonlinear sigma model, which involves three coupling constants. Computing in the ultraviolet limit in 2 + epsilon dimensions, we find that at least one coupling is not asymptotically free.

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