Pressure and interaction measure of the gluon plasma

Details Pressure and interaction measure of the gluon plasma Pressure and interaction measure of the gluon plasma

2008-08-15

arxiv.org/abs/0808.2201v4

Nucl.Phys.A832:314-329,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 5 figures. Final version. To appear in Nucl. Phys. A

Scientific paper

10.1016/j.nuclphysa.2009.11.001

We explore the thermodynamics of the gluon plasma in SU(3) Yang-Mills theory emerging from the non-trivial spatial dynamics of valence gluons. The lattice data suggest that these gluons interact with each other linearly at large spatial separations. At high temperatures, valence gluons should reproduce the pressure of the non-interacting Stefan-Boltzmann plasma along with the leading perturbative correction. These properties of valence gluons can be modeled in terms of the integral over their trajectories. We calculate such a world-line integral analytically and obtain the pressure and the interaction measure $(\varepsilon-3p)/T^4$ of the gluon plasma. Additionally, we account for the contributions of stochastic background fields to these thermodynamic quantities. The results turn out to be in a good agreement with the corresponding lattice data. In particular, the lattice-simulated peak of the interaction measure near the deconfinement critical temperature is reproduced.

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