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The deconfinement phase transition

In the standard fashion [32,33] we now estimate the critical temperature Tc (no baryonic chemical potential $\mu$) of a deconfinement phase transition from the bag constant 3 x nf x Bq. For this we take the value nf x B=0.007 GeV4 for $\lambda =1.0$ GeV, and with

\begin{displaymath}
4B\stackrel{!}=\pi^2
T_c^4\left(\frac{8}{15}+\frac{7}{10}\right)+B
\end{displaymath} (6)

we obtain $T_c=203.8\ \mbox{MeV}$. From SU(3) Yang-Mills lattice simulations one expects a smooth decrease of the gluon condensate for temperatures near 260 MeV [34]. Therefore, we would have to correct the bag radius at zero temperature towards higher values near the phase transition. For comparison, we determine the critical temperature from the phenomenological value B=4.54 x 10-4 GeV4 of Ref. [9] as Tc=102.8 MeV. This is too low, since otherwise the deconfinement phase transition would have already been seen experimentally [35].



Marc Schumann
2000-10-16