Compact U(1) Gauge Theory on Lattices with Trivial Homotopy Group

Abstract

We study the pure gauge model on a lattice manifold with trivial fundamental homotopy group, homotopically equivalent to an $S_4$. Monopole loops may fluctuate freely on that lattice without restrictions due to the boundary conditions. For the original Wilson action on the hypertorus there is an established two-state signal in energy distribution functions which disappears for the new geometry. Our finite size scaling analysis suggests stringent upper bounds on possible discontinuities in the plaquette action. However, no consistent asymptotic finite size scaling behaviour is observed.

18 pages (3 figures), LaTeX + POSTSCRIPT (287 KB), preprint BI-TP 94/37

References in corpus (4)

• Multicanonical Ensemble: A New Approach to Simulate First-order Phase Transitions
• Observation of FSS for a First Order Phase Transition
• The First Order Signal in Pure U(1) Gauge Theory May be Fake
• Monopole clusters and critical dynamics in four-dimensional U(1)

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• Spin and Gauge Systems on Spherical Lattices
• The U(1) phase transition on toroidal and spherical lattices
• Topological Data Analysis of Monopole Current Networks in $U(1)$ Lattice Gauge Theory
• Monopoles in Compact U(1) -- Anatomy of the Phase Transition
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