QCD equation of state with almost physical quark masses

By M. Cheng, N. Christ, S. Datta, J. Heide, C. Jung, F. Karsch, O. Kaczmarek, E. Laermann, R. Mawhinney, C. Miao and 5 more. 2007

439 citations recorded by the source corpus.

We present results on the equation of state in QCD with two light quark flavors and a heavier strange quark. Calculations with improved staggered fermions have been performed on lattices with temporal extent ${N}_{\ensuremath{\tau}}=4$ and 6 on a line of constant physics with almost physical quark mass values; the pion mass is about 220 MeV, and the strange quark mass is adjusted to its physical value. High statistics results on large lattices are obtained for bulk thermodynamic observables, i.e. pressure, energy and entropy density, at vanishing quark chemical potential for a wide range of temperatures, $140\text{ }\text{ }\mathrm{MeV}\ensuremath{\le}T\ensuremath{\le}800\text{ }\text{ }\mathrm{MeV}$. We present a detailed discussion of finite cutoff effects which become particularly significant for temperatures larger than about twice the transition temperature. At these high temperatures we also performed calculations of the trace anomaly on lattices with temporal extent ${N}_{\ensuremath{\tau}}=8$. Furthermore, we have performed an extensive analysis of zero temperature observables including the light and strange quark condensates and the static quark potential at zero temperature. These are used to set the temperature scale for thermodynamic observables and to calculate renormalized observables that are sensitive to deconfinement and chiral symmetry restoration and become order parameters in the infinite and zero quark mass limits, respectively.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9edb83735b7161968ae07642aa32b388f0f02d64

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In Nuclear and High Energy Physics

Citations in the corpus

Thermal bottomonium suppression at RHIC and LHC (2011, background): “Lattice quantum chromodynamics (lattice QCD) measurements of the equation of state of strongly interacting matter [1–5] show that there is crossover from hadronic matter to a quark-gluon plasma at temperatures on the order of 175 MeV which corresponds to approximately two trillion degrees Kelvin.”
The QCD transition temperature: Results with physical masses in the continuum limit (2006, background): “It is ultraviolet divergent, a possible way of removing divergences was proposed in [25].”
Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, background): “However, the analysis performed in [202] indicates that the chiral susceptibility and the Polyakov loop susceptibility peak in the range of T = 150− 170 MeV.”
Mimicking the QCD equation of state with a dual black hole (2008, background): “Lattice studies of the equation of state are too numerous to cite comprehensively, but they include [2] (for pure glue), [3] (a review article), and [4, 5] (recent studies with 2 + 1 flavors).”
Bulk viscosity of QCD matter near the critical temperature (2007, methodology): “The sum rule analysis presented here has been extended to QCD with almost physical quark masses [36], using the recent lattice results on the equation of state [37].”