Screening in (2+1)D pure gauge theory at high temperatures

We compute heavy quark potentials in pure gauge $SU(3)$ at high temperatures in $2+1$ dimensions and confront them with expectations emerging from perturbative calculations.Comment: 3 pages, latex, 4 figures, uu, Contribution to LATTICE 9

The string tension in SU(N) gauge theory from a careful analysis of smearing parameters

We report a method to select optimal smearing parameters before production runs and discuss the advantages of this selection for the determination of the string tension.Comment: Contribution to Lat97 poster session, title was 'How to measure the string tension', 3 pages, 5 colour eps figure

A Study of Finite Temperature Gauge Theory in (2+1) Dimensions

We determine the critical couplings and the critical exponents of the finite temperature transition in SU(2) and SU(3) pure gauge theory in (2+1) dimensions. We also measure Wilson loops at $T=0$ on a wide range of $\beta$ values using APE smearing to improve the signal. We extract the string tension $\sigma$ from a fit to large distances, including a string fluctuation term. With these two entities we calculate $T_c/\sqrt{\sigma}$.Comment: Talk presented at LATTICE96(finite temperature), not espcrc2 style: 7 pages, 4 ps figures, 22 k

EQUATION OF STATE FOR THE SU(3) GAUGE-THEORY

Boyd G, Engels J, Karsch F, et al. EQUATION OF STATE FOR THE SU(3) GAUGE-THEORY. PHYSICAL REVIEW LETTERS. 1995;75(23):4169-4172.By investigating the SU(3) gauge theory thermodynamics on lattices of various sizes we can control finite lattice cutoff effects. We calculate the pressure and energy density on lattices with temporal extent N-tau = 4, 6, and 8 and spatial extent N-sigma = 16 and 32, and extrapolate to the continuum limit. We find a deviation from ideal gas behavior of (15-20)%, even at temperatures as high as T similar to 3T(c). A calculation of the critical temperature for N-tau = 8 and 12 and the string tension for N-tau = 32 is performed to fix the temperature scale, yielding T-c/root sigma = 0.629(3) in the continuum limit

Thermodynamics of SU(3) lattice gauge theory

Boyd G, Engels J, Karsch F, et al. Thermodynamics of SU(3) lattice gauge theory. NUCLEAR PHYSICS B. 1996;469(3):419-444.The pressure and the energy density of the SU(3) gauge theory are calculated on lattices with temporal extent N-tau = 4, 6 and 8 and spatial extent N-sigma = 16 and 32. The results are then extrapolated to the continuum limit. In the investigated temperature range up to five times T-c we observe a 15% deviation from the ideal gas limit. We also present new results for the critical temperature on lattices with temporal extent N, = 8 and 12. At the corresponding critical couplings the string tension is calculated on 32(4) lattices to fix the temperature scale. An extrapolation to the continuum limit yields T-c/root sigma = 0.629(3). We furthermore present results on the electric and magnetic condensates as well as the temperature dependence of the spatial string tension, These observables suggest that the temperature dependent running coupling remains large even at T similar or equal to 5T(c). For the spatial string tension we find root sigma(s)/T = 0.566(13)g(2)(T) with g(2)(5T(c)) similar or equal to 1.5