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

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

2005-12-20

arxiv.org/abs/hep-ph/0512245v2

Phys.Rev. D74 (2006) 045029

Physics

High Energy Physics

High Energy Physics - Phenomenology

Published version; added discussion of hep-ph/0608242

Scientific paper

10.1103/PhysRevD.74.045029

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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