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

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

1994-07-13

arxiv.org/abs/hep-lat/9407005v1

Nucl.Phys. B431 (1994) 119-130

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/0550-3213(94)90100-7

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.

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