Polyakov loop eigenvalues in the presence of baryon chemical potential

Abstract

The eigenvalues of the Polyakov loop are calculated in the strong coupled lattice QCD at finite tempera­ture. This is done both in the pure gauge theory and in the theory with heavy quarks at finite baryon chemical potential. Computations are performed in the mean­field like approach to the effective action. Using the eigenvalues obtained we also evaluate the free energy, real and imaginary parts of the Polyakov loops and the baryon density. The phase diagram of the model and influence of the baryon chemical potential are discussed in details. We underline a similarity between our calculations and continuum derivations of the phenomenon of A₀ condensation.