English

Effective Lagrangian for the Polyakov line on a lattice

High Energy Physics - Lattice 2015-06-16 v2 High Energy Physics - Phenomenology

Abstract

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.

Keywords

Cite

@article{arxiv.1308.2328,
  title  = {Effective Lagrangian for the Polyakov line on a lattice},
  author = {Dmitri Diakonov and Victor Petrov and Hans-Peter Schadler and Christof Gattringer},
  journal= {arXiv preprint arXiv:1308.2328},
  year   = {2015}
}

Comments

Comments and references added. Version to appear in JHEP

R2 v1 2026-06-22T01:07:26.657Z