The First Order Signal in Pure U(1) Gauge Theory May be Fake

Abstract

We study the deconfinement phase transition of compact $U(1)$ pure lattice gauge theory with the Wilson action on {\em closed topology} lattices. In contrast to studies of compact QED on {\em hypercubic lattices with periodic boundary conditions}, we find no metastability signal at the phase transition on the lattices with the topology of a sphere. Thus the determination of the order of this phase transition has to be reconsidered. We argue that different properties of closed monopole loops on these topological inequivalent lattices might be responsible for the effect.

3 pages (1 figure), POSTSCRIPT-file (207 KB), Contribution to Lattice 93, preprint UNIGRAZ-UTP 22-11-93

References in corpus (1)

• Observation of FSS for a First Order Phase Transition

Cited by in corpus (13)

• Non-Gaussian fixed point in four-dimensional pure compact U(1) gauge theory on the lattice
• Phase structure and monopoles in U(1) gauge theory
• The continuum limit of the lattice Gribov problem, and a solution based on Hodge decomposition
• Compact U(1) Gauge Theory on Lattices with Trivial Homotopy Group
• Monopole Percolation in pure gauge compact QED
• The Lagrangian Loop Representation of Lattice U(1) Gauge Theory
• Multicanonical Hybrid Monte Carlo: Boosting Simulations of Compact QED
• Evidence for a Critical Behavior in $4D$ Pure Compact QED
• Finite-Size analysis of the 4-d abelian surface gauge model
• Spin and Gauge Systems on Spherical Lattices
• Are there Local Minima in the Magnetic Monopole Potential in Compact QED?
• Monopoles in Compact U(1) -- Anatomy of the Phase Transition
• Characterization of phases and boundary effects in U(1) gauge theory