Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-07-02
Int.J.Mod.Phys. A12 (1997) 2741-2762
Physics
High Energy Physics
High Energy Physics - Theory
Minor corrections; final version to appear on IJMPA. 22 pages, Latex, 2 (small) figures included with epsf
Scientific paper
10.1142/S0217751X97001511
We solve a hot twisted Eguchi-Kawai model with only timelike plaquettes in the deconfined phase, by computing the quadratic quantum fluctuations around the classical vacuum. The solution of the model has some novel features: the eigenvalues of the time-like link variable are separated in L bunches, if L is the number of links of the original lattice in the time direction, and each bunch obeys a Wigner semicircular distribution of eigenvalues. This solution becomes unstable at a critical value of the coupling constant, where it is argued that a condensation of classical solutions takes place. This can be inferred by comparison with the heat-kernel model in the hamiltonian limit, and the related Douglas-Kazakov phase transition in QCD2. As a byproduct of our solution, we can reproduce the dependence of the coupling constant from the parameter describing the asymmetry of the lattice, in agreement with previous results by Karsch.
Billo' Marco
D'Adda Alessandro
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