Spin and Gauge Systems on Spherical Lattices

Details Spin and Gauge Systems on Spherical Lattices Spin and Gauge Systems on Spherical Lattices

1995-09-07

arxiv.org/abs/hep-lat/9509009v1

Nucl.Phys.Proc.Suppl. 47 (1996) 815-818

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, LaTeX, 3 POSTSCRIPT figures (uuencoded)

Scientific paper

10.1016/0920-5632(96)00181-8

We present results for 2D and 4D systems on lattices with topology homotopic to the surface of a (hyper) sphere $S^2$ or $S^4$. Finite size scaling is studied in situations with phase transitions of first and second order type. The Ising and Potts models exhibit the expected behaviour; for the 4D pure gauge $U(1)$ theory we find consistent scaling indicative of a second order phase transition with critical exponent $\nu\simeq 0.36(1)$.

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