On a possibility of adjoint colored states condensation at finite temperatures in lattice gauge model

Cooled down and diluted quark-gluon matter is considered. A possibility of condensation of multiquark clusters with zero N-alities is discussed.Comment: Lattice99:Finite Temperature and Density sessio

Dirac Spectrum, Axial Anomaly and the QCD Chiral Phase Transition

The QCD phase transition is studied on $16^3$ and $32^3 \times 4$ lattices both with and without quark loops. We introduce a new zero-flavor or quenched species of quark $\zeta$ and study the resulting chiral condensate, \azbz as a function of the $\zeta$ mass, $m_\zeta$. By examining \azbz for $10^{-10} \le m_\zeta \le 10$ we gain considerable information about the spectrum of Dirac eigenvalues. A comparison of $ma=0.01$ and 0.025 shows little dependence of the Dirac spectrum on such a light, dynamical quark mass, after an overall shift in $\beta$ is removed. The presence of sufficient small eigenvalues to support anomalous chiral symmetry breaking in the high temperature phase is examined quantitatively. In an effort to enhance these small eigenvalues, \azbz is also examined in the pure gauge theory in the region of the deconfinement transition with unexpected results. Above the critical temperature, the three $Z_3$ phases show dramatically different chiral behavior. Surprisingly, the real phase shows chiral symmetry, suggesting that a system with one flavor of staggered fermion at $N_t=4$ will possess a chiral a phase transition---behavior not expected in the continuum limit.Comment: Contribution to Lattice 95. 8 pages. Latex source file Individual figures available from [email protected] and also submitted seperately as figures.uu as required