2006/05/31 by Bernd A. Berg, Alexei Bazavov
Mathematics · Physics and Astronomy · #Combinatorics #Critical exponent #Critical point (mathematics) #Fixed point #Gauge theory #Gaussian #Geometry #High-Energy Particle Collisions Research #Lattice (music) #Lattice field theory #Lattice gauge theory #Mathematical analysis #Mathematical physics #Mathematics #Order (exchange) #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization group #Scaling #Statistical physics #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.stat-mech #hep-lat
paper · pdf · doi:10.1103/physrevd.74.094502
published as Phys.Rev.D74:094502,2006 · Extended version after referee reports. 6 pages, 6 figures
arxiv created 2006/10/15 · openalex publication_date 2006/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
For compact U(1) lattice gauge theory we have performed a finite size scaling analysis on N_\ensuremathτNs3 lattices for N_\ensuremathτ fixed by extrapolating spatial volumes of size Ns\ensuremath≤18 to Ns\ensuremath→\ensuremath∞. Within the numerical accuracy of the thus-obtained fits, we find for N_\ensuremathτ=4, 5 and 6 second order critical exponents, which exhibit no obvious N_\ensuremathτ 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 nontrivial fixed point close to the 3d Gaussian emerges as one of the possible explanations.