Mean-Field Gauge Interactions in Five Dimensions I. The Torus

Details Mean-Field Gauge Interactions in Five Dimensions I. The Torus Mean-Field Gauge Interactions in Five Dimensions I. The Torus

2009-05-18

arxiv.org/abs/0905.2757v3

Nucl.Phys.B822:1-44,2009

Physics

High Energy Physics

High Energy Physics - Lattice

53 pages, 21 figures. Discussion of results improved, figures and appendix added. Version accepted for publication in Nucl. Ph

Scientific paper

10.1016/j.nuclphysb.2009.07.001

We consider the lattice regularization of a five dimensional SU(2) gauge theory with periodic boundary conditions. We determine a consistent mean-field background and perform computations of various observables originating from fluctuations around this background. Our aim is to extract the properties of the system in regimes of its phase diagram where it seems to be in a dimensionally reduced state. Within the mean-field theory we establish the existence of a second order phase transition at finite value of the gauge coupling for anisotropy parameter less than one, where there is evidence for dimensional reduction.

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