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Phases of planar QCD on the torus

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arxiv hep-lat/0509014 v1 pith:HFB3BVQH submitted 2005-09-06 hep-lat

classification hep-lat
keywords infinitephasesplanartheorytorusadditionautomaticallybehaves
verification ladder T0 review T1 audit T2 compute T3 formal
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At infinite N, continuum Euclidean SU(N) gauge theory defined on a symmetrical four torus has a rich phase structure with phases where the finite volume system behaves as if it had infinite extent in some or all of the directions. In addition, fermions are automatically quenched, so planar QCD should be cheaper to solve numerically that full QCD. Large N is a relatively unexplored and worthwhile direction of research in lattice field theory.

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