The $N_t=6$ equation of state for two flavor QCD

Abstract

We improve the calculation of the equation of state for two flavor QCD by simulating on $N_t=6$ lattices at appropriate values of the couplings for the deconfinement/chiral symmetry restoration crossover. For $a{m}_q=0.0125$ the energy density rises rapidly to approximately 1 $GeV/f{\mathrm{m}}^3$ just after the crossover($m_{\pi }/m_{\rho }\approx 0.4$ at this point). Comparing with our previous result for $N_t=4$~\cite{eos}, we find large finite $N_t$ corrections as expected from free field theory on finite lattices. We also provide formulae for extracting the speed of sound from the measured quantities.

Comments: Contribution to Lattice 95 proceedings (combines talks presented by T. Blum and L. Karkkainen). LaTeX, 8 pages, uses espcrc2.sty, postscript figures included