Monte Carlo studies of wilson loops in four-dimensional U(2) gauge theory |
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Authors: | Michael Creutz KJM Moriarty |
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Institution: | Brookhaven National Laboratory, Upton, New York 11973, USA;Department of Mathematics, Royal Holloway College, Englefield Green, Surrey, TW20 0EX, UK |
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Abstract: | Wilson loops are calculated using Monte Carlo simulations for pure U(2) gauge theory on a 64 lattice. The loops appear to contain an area law piece in both the high and low temperature regions. The string tension is discontinuous at β = βc, where βc is the critical inverse temperature. This suggests that the first-order phase transition in U(2) gauge theory is not a deconfining phase transition. The determinant of the Wilson loop, however, extracts the U(1) part of the theory and appears to lose the area law at low temperature. |
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