Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1995-06-20
Phys.Rev.Lett. 75 (1995) 4169-4172
Physics
High Energy Physics
High Energy Physics - Lattice
12 pages, LaTeX2e, 5 figures in a seperate uuencoded compressed file. fixed end{document}
Scientific paper
10.1103/PhysRevLett.75.4169
Through a detailed investigation of the $SU(3)$ gauge theory at finite temperature on lattices of various size we can control finite lattice cut-off effects in bulk thermodynamic quantities. We calculate the pressure and energy density of the $SU(3)$ gauge theory on lattices with temporal extent $N_\tau = 4$, 6 and 8 and spatial extent $N_\sigma =16$ and 32. The results are extrapolated to the continuum limit. We find a deviation from ideal gas behaviour of (15-20)\%, depending on the quantity, even at temperatures as high as $T\sim 3T_c$. A calculation of the critical temperature on lattices with temporal extent $N_\tau = 8$ and 12 and the string tension on $32^4$ lattices at the corresponding critical couplings is performed to fix the temperature scale. An extrapolation to the continuum limit yields $T_c/\sqrt{\sigma} = 0.629(3)$.
Boyd Graham
Engels Juergen
Karsch Frithjof
Laermann Edwin
Legeland C.
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