We propose a method to find the QCD critical point at finite density calculating the canonical partition function ZC(T, N) by Monte-Carlo simulations of lattice QCD, and analyze data obtained by a simulation with two-flavor p4-improved staggered quarks with pion mass mπ ≈ 770MeV. It is found that the shape of an effective potential changes gradually as the temperature decreases and a first orde...

A general formula for the canonical partition function for a system obeying any statistics based on the permutation group is derived. The formula expresses the canonical partition function in terms of sums of Schur functions. (1990)] for parasystems of order two is shown to arise as a special case of our general formula. Our results also yield all the relevant information about the structure of...

Following hep-th/0305177, we write the boundary state of half S-brane in bosonic string theory as a grand canonical partition function of a unitary matrix model. From this representation, it follows that the annulus amplitude can be written as a grand canonical partition function of a unitary two-matrix model. We also show that the contribution of the exponentially growing couplings to the time...

We consider the Hamiltonian dynamics and thermodynamics of the twodimensional vacuum dilatonic black hole in the presence of a timelike boundary with a fixed value of the dilaton field. A canonical transformation, previously developed by Varadarajan and Lau, allows a reduction of the classical dynamics into an unconstrained Hamiltonian system with one canonical pair of degrees of freedom. The r...

In this paper, we propose a general way of computing expectation values in the zero-range process, using an exact form of the partition function. As an example, we provide the fundamental diagram (the flux-density plot) of the asymmetric exclusion process corresponding to the zero-range process. We express the partition function for the steady state by the Lauricella hypergeometric function, an...

We consider the canonical partition function of a classical many-particle system interacting via a two-body inverse square interaction, as in the CalogeroSutherland-Moser model. Although the model is integrable both classically as well as quantum mechanically, the classical N -body canonical partition function has not been calculated to-date. We proceed to do this in this paper. The equation of...