Three dimensional finite temperature SU(3) gauge theory in the confined region and the string picture

Abstract

We determine the correlation between Polyakov loops in three dimensional SU(3) gauge theory in the confined region at finite temperature. For this purpose we perform lattice calculations for the number of steps in the temperature direction equal to six. This is expected to be in the scaling region of the lattice theory. We compare the results to the bosonic string model. The agreement is very good for temperatures T<0.7T_c, where T_c is the critical temperature. In the region 0.7T_c<T<T_c we enter the critical region, where the critical properties of the correlations are fixed by universality to be those of the two dimensional three state Potts model. Nevertheless, by calculating the critical lattice coupling, we show that the ratio of the critical temperature to the square root of the zero temperature string tension, where the latter is taken from the literature, remains very near to the string model prediction.

11 pages, 1 figure, 1 table

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Cited by in corpus (14)

• SU(N) gauge theories at large N
• Closed flux tubes and their string description in D=2+1 SU(N) gauge theories
• Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions II - The deconfined phase
• Introductory lectures to large-N QCD phenomenology and lattice results
• Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions I - The confining phase
• Lattice QCD computation of the SU(3) String Tension critical curve
• Linear broadening of the confining string in Yang-Mills theory at low temperature
• Universal signatures of the effective string in finite temperature lattice gauge theories
• Localisation in 2+1 dimensional SU(3) pure gauge theory at finite temperature
• Matrix model for deconfinement in an SU(2) gauge theory in 2+1 dimensions
• Three dimensional finite temperature SU(3) gauge theory near the phase transition
• Confining strings in three-dimensional gauge theories beyond the Nambu--Gotō approximation
• Matrix model for deconfinement in a SU(Nc) gauge theory in 2+1 dimensions
• Hydrodynamics of the Polyakov Line in SU$(N_c)$ Yang-Mills