U(1) Gauge Theory with Villain Action on Spherical Lattices
arXiv:hep-lat/9607038 · doi:10.1016/0370-2693(96)01081-7
Abstract
We have studied the U(1) gauge field theory with Villain (periodic Gaussian) action on spherelike lattices. The effective size of the systems studied ranges from 6 to 16. We do not observe any 2-state signal in the distribution function of the plaquette expectation value at the deconfining phase transition. The observed finite-size scaling behavior is consistent with a second order phase transition. The obtained value of the critical exponent is nu =0.366(12) and thus neither Gaussian (nu = 0.5) nor discontinuous (nu=0.25) type, indicating a nontrivial continuum limit.
10 pages, LaTeX, 2 figures