Strong coupling expansion for finite temperature Yang-Mills theory in the confined phase

Details Strong coupling expansion for finite temperature Yang-Mills theory in the confined phase Strong coupling expansion for finite temperature Yang-Mills theory in the confined phase

2008-05-08

arxiv.org/abs/0805.1163v2

JHEP0807:036,2008

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, 4 figures, Nt=1 results added, references added, version published in JHEP

Scientific paper

10.1088/1126-6708/2008/07/036

We perform euclidean strong coupling expansions for Yang Mills theory on the lattice at finite temperature. After setting up the formalism for general SU(N), we compute the first few terms of the series for the free energy density and the lowest screening mass in the case of SU(2). To next-to-leading order the free energy series agrees with that of an ideal gas of glueballs. This demonstrates that in the confined phase the quasi-particles indeed correspond to the T=0 hadron excitations, as commonly assumed in hadron resonance gas models. Our result also fixes the lower integration constant for Monte Carlo calculations of the thermodynamic pressure via the integral method. In accord with Monte Carlo results, we find screening masses to be nearly temperature independent in the confined phase. This and the exponential smallness of the pressure can be understood as genuine strong coupling effects. Finally, we analyse Pade approximants to estimate the critical couplings of the phase transition, which for our short series are only ~25% accurate. However, up to these couplings the equation of state agrees quantitatively with numerical results on N_t=1-4 lattices.

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