Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-08-23
Phys.Rev. D73 (2006) 014517
Physics
High Energy Physics
High Energy Physics - Lattice
20 pages, 12 figures. New version includes: a more extensive error analysis, a discussion on the behavior of masses near T_H,
Scientific paper
10.1103/PhysRevD.73.014517
We investigate on the lattice the metastable confined phase above Tc in SU(N) gauge theories, for N=8,10, and 12. In particular we focus on the decrease with the temperature of the mass of the lightest state that couples to Polyakov loops. We find that at T=Tc the corresponding effective string tension \sigma_{eff}(T) is approximately half its value at T=0, and that as we increase T beyond Tc, while remaining in the confined phase, \sigma_{eff}(T) continues to decrease. We extrapolate \sigma_{eff}(T) to even higher temperatures, and interpret the temperature where it vanishes as the Hagedorn temperature T_H. For SU(12) we find that T_H/Tc=1.116(9), when we use the exponent of the three-dimensional XY model for the extrapolation, which seems to be slightly preferred over a mean-field exponent by our data.
Bringoltz Barak
Teper Michael
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