Ising description of the transition region in SU(3) gauge theory at finite temperature
Abstract
We attempt the numerical construction of an effective action in three dimensions for Ising spins that represent the Wilson lines in the fourdimensional SU(3) gauge theory at finite temperature. For each configuration of the gauge theory, each spin is determined by averaging the Wilson lines over a small neighborhood and then projecting the average to +/1 according to whether the neighborhood is ordered or disordered. The effective Ising action, determined via the lattice SchwingerDyson equations, contains even (twospin) and odd (one and threespin) terms with short range. We find that the truncation to Ising degrees of freedom produces an effective action which is discontinuous across the gauge theory's phase transition. This discontinuity may disappear if the effective action is made more elaborate.
 Publication:

Physical Review D
 Pub Date:
 November 1997
 DOI:
 10.1103/PhysRevD.56.5395
 arXiv:
 arXiv:heplat/9705007
 Bibcode:
 1997PhRvD..56.5395S
 Keywords:

 11.15.Ha;
 05.70.Fh;
 11.10.Wx;
 Lattice gauge theory;
 Phase transitions: general studies;
 Finitetemperature field theory;
 High Energy Physics  Lattice
 EPrint:
 12 pages, revtex, including 2 Postscript figures