Corrections to Scaling and Critical Amplitudes in SU(2) Lattice Gauge Theory

Details Corrections to Scaling and Critical Amplitudes in SU(2) Lattice Gauge Theory Corrections to Scaling and Critical Amplitudes in SU(2) Lattice Gauge Theory

1998-08-27

arxiv.org/abs/hep-lat/9808041v1

Nucl.Phys.Proc.Suppl. 73 (1999) 426-428

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE98(hightemp)

Scientific paper

10.1016/S0920-5632(99)85093-2

We calculate the critical amplitudes of the Polyakov loop and its susceptibility at the deconfinement transition of SU(2) gauge theory. To this end we carefully study the corrections to the scaling functions of the observables coming from irrelevant exponents. As a guiding line for determining the critical amplitudes we use envelope equations derived from the finite size scaling formulae for the observables. The equations are then evaluated with new high precision data obtained on N^3 x 4 lattices for N=12,18,26 and 36. We find different correction-to-scaling behaviours above and below the transition. Our result for the universal ratio of the susceptibility amplitudes is C_+/C_-=4.72(11) and agrees perfectly with a recent measurement for the 3d Ising model.

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