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Effective Lagrangian for the Polyakov line on a lattice

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arxiv 1308.2328 v2 pith:PP46RK2L submitted 2013-08-10 hep-lat hep-ph

Dmitri Diakonov , Victor Petrov , Hans-Peter Schadler , Christof Gattringer This is my paper · ORCID
classification hep-lathep-ph
keywords effectivelatticelagrangianlinepolyakovpotentialsimulationsagrees
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We formulate a method for computing the effective Lagrangian of the Polyakov line on the lattice. Using mean field approximation we calculate the effective potential for high temperatures. The result agrees with recent lattice simulations. We reveal a new type of ultraviolet divergence (coming from longitudinal gluons) which dominates the effective potential and explains the discrepancy of the lattice simulations and standard perturbative calculations performed in covariant gauges.

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