Effective Polyakov-loop theory for pure Yang-Mills from strong coupling expansion

Nov, 2010
14 pages
Published in:
  • PoS LATTICE2010 (2010) 196
Contribution to:
e-Print:
Report number:
  • BI-TP-2010-41

Citations per year

20102011201220132014201
Abstract: (arXiv)
Lattice Yang-Mills theories at finite temperature can be mapped onto effective 3d spin systems, thus facilitating their numerical investigation. Using strong-coupling expansions we derive effective actions for Polyakov loops in the SU(2)SU(2) and SU(3)SU(3) cases and investigate the effect of higher order corrections. Once a formulation is obtained which allows for Monte Carlo analysis, the nature of the phase transition in both classes of models is investigated numerically, and the results are then used to predict -- with an accuracy within a few percent -- the deconfinement point in the original 4d Yang-Mills pure gauge theories, for a series of values of NτN_\tau at once.
  • expansion: strong coupling
  • correction: higher-order
  • effect: higher-order
  • dimension: 3
  • gauge field theory: SU(2)
  • gauge field theory: SU(3)
  • dimension: 4
  • Polyakov loop
  • finite temperature
  • critical phenomena