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The gluon propagator close to criticality

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arxiv 1110.6340 v2 pith:JFERN6AF submitted 2011-10-28 hep-lat hep-phnucl-th

The gluon propagator close to criticality

classification hep-lat hep-phnucl-th
keywords behaviorgluonpropagatortransitioncorrelationsorderphasepure
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The deconfinement phase transition of pure Yang-Mills theory at finite temperature is reflected in the behavior of gauge-fixed gluonic correlation functions. This is one of many examples of how physical information can be extracted from gauge-dependent correlations which is not always obvious. Here, we study the behavior of the Landau-gauge gluon propagator of pure SU(2) across the phase transition in 2+1 and 3+1 dimensions in order to assess to what extend the corresponding critical behavior is reflected in these correlations. We discuss why it should emerge from a continuum perspective and test our expectations in lattice simulations. A comparison with SU(3) furthermore reveals quite clear indications for a sensitivity of the gluon propagator to the order of the transition.

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