Measurement of Tc in the scaling region of (2+1)-dimensional SU(2) lattice gauge theory

Abstract

The deconfinement temperature T c of (2+1)-dimensional SU(2) gauge theory is measured on lattice sizes varying from 2 × 20 2 to 6 × 60 2 and with β in the rate 3–9. Approximative scaling is found for β > 6.5 and T c /√ σ = 0.94 ± 0.03 is obtained. This value is in excellent agreement with (3/π) 1 2 , as predicted from the breakdown of SU(2) confinement in terms of an effective scalar string theory.