Thermodynamics of SU(3) lattice gauge theory

Boyd, G.; Engels, J.; Karsch, F.; Laermann, E.; Legeland, C.; Lutgemeier, M.; Petersson, B.

doi:10.1016/0550-3213(96)00170-8

Thermodynamics of SU(3) lattice gauge theory

Jan, 1996

33 pages

Published in:

Nucl.Phys.B 469 (1996) 419-444

e-Print:

hep-lat/9602007 [hep-lat]

DOI:

10.1016/0550-3213(96)00170-8

Report number:

BI-TP-96-04

View in:

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Abstract:

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_\tau = 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/\sqrt{\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\simeq 5T_c

. For the spatial string tension we find

\sqrt{\sigma_s}/T = 0.566(13) g~2(T)

with

g~2(5T_c) \simeq 1.5

.

Note:

34 pages, 11 Postscript figures Report-no: BI-TP 96/04

05.70.Ce
11.15.Ha
12.38.Mh
Lattice field theory, SU(3)
Finite temperature
Equation of state
Continuum limit
Monte Carlo simulations
gauge field theory: SU(3)
lattice field theory: condensation

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