Scaling and Topological Charge of a Fixed Point Action for $SU(2)$ Gauge Theory

Details Scaling and Topological Charge of a Fixed Point Action for $SU(2)$ Gauge Theory Scaling and Topological Charge of a Fixed Point Action for $SU(2)$ Gauge Theory

1996-04-18

arxiv.org/abs/hep-lat/9604018v1

Nucl.Phys.B478:349-364,1996

Physics

High Energy Physics

High Energy Physics - Lattice

27 pages of Latex including 12 postscript figures

Scientific paper

10.1016/0550-3213(96)00419-1

We construct a few parameter approximate fixed point action for SU(2) pure gauge theory and subject it to scaling tests, via Monte Carlo simulation. We measure the critical coupling for deconfinement for lattices of temporal extent $N_t=2$, 3, 4, the torelon mass at fixed physical volume, and the string tension (and heavy quark potential) from Wilson loops. We calculate the topological susceptibility using inverse blocking and show that it scales over the observed range of lattice spacings.

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