Statistical model of quark-hadron matter.

A statistical model of deconfinement is constructed by treating hadrons as clusters of elementary objects, gluons and quarks. The basis of the model is an effective cluster Hamiltonian. The principle of thermodynamic equivalence for Hamiltonians is formulated, which makes it possible to describe all the thermodynamics of the system with an effective Hamiltonian in a completely correct way. This principle yields restrictions, called the conditions of thermodynamic correctness, controlling the choice of the cluster Hamiltonians. The clustering, at low temperature and density, of partons into hadrons means confinement while the inverse process of the cluster disintegration corresponds to deconfinement. To check the accuracy of the model, detailed calculations for the region of zero baryon density have been made for which computer simulations on the lattice are known. Our results are found to be in nice agreement with the lattice numerical data. [ABSTRACT FROM AUTHOR]