Finite Size Scaling Analysis of SU(2) Lattice Gauge Theory in (3+1)-dimensions

Engels, J.; Fingberg, J.; Weber, M.

doi:10.1016/0550-3213(90)90010-B

Finite Size Scaling Analysis of SU(2) Lattice Gauge Theory in (3+1)-dimensions

Jul, 1989

23 pages

Published in:

Nucl.Phys.B 332 (1990) 737-759

Published: 1990

DOI:

10.1016/0550-3213(90)90010-B

Report number:

BI-TP-89/19

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Abstract: (Elsevier)

We have calculated the order parameter, the susceptibility and the normalized fourth cumulant g r with high precision on N σ 3 ×4 lattices ( N σ =8,12,18 and 26) for SU(2) gauge theory at finite temperature. The finite size scaling analysis of these quantities confirms that the critical exponents of SU(2) gauge theory are the same as those of the three-dimensional Ising model, the infinite volume value for the critical coupling is 4/ g c 2 ( N τ = 4) = 2.2985 ±0.0006. With direct scaling fits we determine β / ν and γ / ν and find excellent agreement with the hyperscaling relation.

gauge field theory: SU(2)
lattice field theory: critical phenomena
finite temperature
scaling: finite size
thermodynamics
numerical calculations: Monte Carlo

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