Unruh thermalization, gluon condensation and freeze-out

The deconfinement transition and the hadronization mechanism at high energy are related to the quark-antiquark string breaking and the corresponding temperature depends on the string tension $σ$. In the Unruh scheme of hadron production it turns out $T = \sqrt{σ/2π}$, with $σ\simeq \E$, the vacuum energy density. In heavy ion collisions at lower energy, i.e. large baryonchemical potential, $μ_B$, the dynamics is dominated by Fermi statistics and baryon repulsion. However one can still consider $\E$ as the relevant physical scale and its evaluation as a function of the baryon density, in a nuclear matter approach, gives dynamical information on the $μ_B$ dependence of the hadronization temperature and on the value of the critical end point in the $T-μ_B$ plane.

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