Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-02-17
Phys.Rev.D71:125018,2005
Physics
High Energy Physics
High Energy Physics - Theory
63 pages (40 pages + 2 appendices), 6 figures, harvmac. v2: minor corrections
Scientific paper
10.1103/PhysRevD.71.125018
We give an analytic demonstration that the 3+1 dimensional large N SU(N) pure Yang-Mills theory, compactified on a small 3-sphere so that the coupling constant at the compactification scale is very small, has a first order deconfinement transition as a function of temperature. We do this by explicitly computing the relevant terms in the canonical partition function up to 3-loop order; this is necessary because the leading (1-loop) result for the phase transition is precisely on the borderline between a first order and a second order transition. Since numerical work strongly suggests that the infinite volume large N theory also has a first order deconfinement transition, we conjecture that the phase structure is independent of the size of the 3-sphere. To deal with divergences in our calculations, we are led to introduce a novel method of regularization useful for nonabelian gauge theory on a 3-sphere.
Aharony Ofer
Marsano Joseph
Minwalla Shiraz
Papadodimas Kyriakos
Raamsdonk Mark Van
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