Abstract
New approach to computation of canonical partition functions in $N_f=2$ lattice QCD is presented. We compare results obtained by new method with results obtained by known method of hopping parameter expansion. We observe agreement between two methods indicating validity of the new method. We use results for the number density obtained in the confining and deconfining phases at imaginary chemical potential to determine the phase transition line at real chemical potential.
Highlights
Recent results of heavy ion collision experiments at RHIC [1] and LHC [2] shed some light on the properties of the quark gluon plasma and the position of the transition line in the temperature – baryon density plane
Our results for the number density at temperatures T > Tc as function of the chemical potential μq are reliable even for large μq for T > TRW, while in the temperature interval Tc < T < TRW they are presently reliable for small μq only
We find the transition temperature Tc(μq) solving numerically the equation ΔPdecon f (T, μq) = ΔPcon f (T, μq), where ΔPcon f (T, /muq) is the excess pressure obtained from the number density in the confined phase
Summary
Recent results of heavy ion collision experiments at RHIC [1] and LHC [2] shed some light on the properties of the quark gluon plasma and the position of the transition line in the temperature – baryon density plane. ZGC(θ, T, V) is the grand canonical partition function for imaginary chemical potential μq = iμqI ≡ iT θ. One can compute ZGC(θ, T, V) using numerical data for nqI/T 3 via numerical integration
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