Non-Perturbative U(1) Gauge Theory at Finite Temperature

Abstract

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.

Extended version after referee reports. 6 pages, 6 figures

References in corpus (1)

• Static potential, force, and flux-tube profile in 4D compact U(1) lattice gauge theory with the multi-level algorithm

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• Finite temperature and confinement along the extra dimensions studied on a five-dimensional U(1) lattice gauge model
• On the equation of state of U(1) lattice gauge theory in three dimensions