Three-dimensional SU(3) gauge theory and the spatial string tension of the (3+1)-dimensional finite temperature SU(3) gauge theory

Karsch, F.; Laermann, E.; Lutgemeier, M.

doi:10.1016/0370-2693(94)01669-4

Three-dimensional SU(3) gauge theory and the spatial string tension of the (3+1)-dimensional finite temperature SU(3) gauge theory

Nov, 1994

10 pages

Published in:

Phys.Lett.B 346 (1995) 94-98

e-Print:

hep-lat/9411020 [hep-lat]

DOI:

10.1016/0370-2693(94)01669-4

Report number:

BI-TP-94-55

View in:

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Abstract: (DESY)

We establish a close relation between the spatial string tension of the (3+1)-dimensional

SU(3)

gauge theory at finite temperature (

\sigma_s

) and the string tension of the 3-dimensional

SU(3)

gauge theory (

\sigma_3

) which is similar to what has been found previously for

SU(2)

. We obtain

\sqrt{\sigma_3} = (0.554 \pm 0.004) g_3~2

and

\sqrt{\sigma_s} = (0.586 \pm 0.045)g~2(T) T

, respectively. For temperatures larger than twice the critical temperature results are consistent with a temperature dependent coupling running according to the two-loop

\beta

-function with

\Lambda_T = 0.118(36)T_c

.

gauge field theory: SU(3)
dimension: 3
lattice field theory
string tension
finite temperature: dependence

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