Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2006-05-29
Phys.Rev.D74:094502,2006
Physics
High Energy Physics
High Energy Physics - Lattice
Extended version after referee reports. 6 pages, 6 figures
Scientific paper
10.1103/PhysRevD.74.094502
For compact U(1) lattice gauge theory (LGT) we have performed a finite size scaling analysis on $N_{\tau} N_s^3$ lattices for $N_{\tau}$ fixed by extrapolating spatial volumes of size $N_s\le 18$ to $N_s\to\infty$. Within the numerical accuracy of the thus obtained fits we find for $N_{\tau}=4$, 5 and~6 second order critical exponents, which exhibit no obvious $N_{\tau}$ dependence. The exponents are consistent with 3d Gaussian values, but not with either first order transitions or the universality class of the 3d XY model. As the 3d Gaussian fixed point is known to be unstable, the scenario of a yet unidentified non-trivial fixed point close to the 3d Gaussian emerges as one of the possible explanations.
Bazavov Alexei
Berg Bernd A.
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