Noncompact simulations of SU(2) 3

• Published in: Physics letters. B 1986-12, Vol.181 (3), p.333-338
• Main Authors: Cahill, Kevin, Prasad, Sudhakar, Reeder, Randolph, Richert, Brent
• Format: Article
• Language: English
• ISSN: 0370-2693; 1873-2445
• DOI: 10.1016/0370-2693(86)90058-4

The action density and Wilson loops for SU(2) in three dimensions have been measured using both a noncompact version of lattice gauge theory and Wilson's version. As a standard of comparison, the Creutz ratio χ of a quartet of Wilson loops has been calculated in the exact theory to order 1/β 2. The noncompact method gave χ's that are between 2 and 23% below the one-loop calculation for the smaller loops at β = 30 and 60 on a 24 3 lattice. Wilson's method gave χ's that are above the one-loop calculation by comparable amounts. For β⩽10, the noncompact χ's are closer than the Wilson χ's to the one-loop calculation. Also some noncompact simulations were done in the temporal gauge; the results agree subtantially with those done without gauge fixing, providing evidence for the gauge independence of the noncompact method. By comparing the χ's of the 12 3 lattice at β = 30 with those of the 24 3 lattice at β = 30 and 60, evidence was found that the accuracy of the noncompact method improves both as the volume of the lattice grows and as the lattice spacing shrinks.