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Universal Aspects of Deconfinement in 2+1 Dimensions

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arxiv 1012.1712 v1 pith:MDZ2GPXO submitted 2010-12-08 hep-ph hep-lat

Universal Aspects of Deconfinement in 2+1 Dimensions

classification hep-ph hep-lat
keywords correspondingcriticaldeconfinementdimensionalmodelstransitiontransitionsvortices
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The 2+1 dimensional pure SU(N) gauge theories with N <= 4 are candidates for applying the powerful tools of scaling and universality to their deconfinement transitions at finite temperature. The corresponding 2 dimensional q-state Potts models with q <= 4 have 2nd order transitions, and we can exploit many exact results to obtain accurate critical couplings, transition temperatures, critical exponents, and the leading behavior of the continuum string tension near the phase transition on one side, together with its dual on the other. Thereby, the self-duality of the 2d spin models is reflected in a duality between spacelike vortices and confining electric fluxes. We also discuss the relevance of center symmetry and the corresponding vortices for confinement in full QCD when the electromagnetic interactions of fractionally charged quarks are included.

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