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arXiv:hep-lat/9612025·v1·High Energy Physics — Lattice

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

The MILC Collaboration: C. W. Bernard🇺🇸 · T. Blum🇺🇸 · C. Detar🇺🇸 · S. Gottlieb🇺🇸 · U. M. Heller🇺🇸 · J. E. Hetrick🇺🇸 · L. Karkkainen🇫🇮 · R. Rummukainen🇺🇸 · R. L. Sugar🇺🇸 · D. Toussaint🇺🇸 · M. Wingate🇺🇸

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Abstract

We calculate the two flavor equation of state for QCD on lattices with lattice spacing a=(6T)^{-1} and find that cutoff effects are substantially reduced compared to an earlier study using a=(4T)^{-1}. However, it is likely that significant cutoff effects remain. We fit the lattice data to expected forms of the free energy density for a second order phase transition at zero-quark-mass, which allows us to extrapolate the equation of state to m_q=0 and to extract the speed of sound. We find that the equation of state depends weakly on the quark mass for small quark mass.

Comments: 24 pages, latex, 11 postscipt figures

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