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The Chiral Critical Surface of QCD

In: High Performance Computing in Science and Engineering '10

Author

Listed:
  • Ph. de Forcrand

    (ETH Zürich, Institut für Theoretische Physik
    CERN, Physics Department)

  • O. Philipsen

    (Westfälische Wilhelms-Universität Münster, Institut für Theoretische Physik)

Abstract

We calculate the critical surface bounding the region featuring chiral phase transitions in the quark mass and chemical potential parameter space of QCD with three flavours of quarks. Our calculations are valid for small to moderate quark chemical potentials, μ≲T. In a first step, we compute the leading Taylor coefficients of an expansion in μ/T for the theory with three degenerate flavours in two different ways and demonstrate, that such an expansion is controllable. Next we extend our calculations to the case of non-degenerate quark masses. These calculations are done on coarse N t =4 lattices. Finally, we present first results for the N f =3 QCD phase diagram at zero and finite density on N t =6 lattices, corresponding to a lattice spacing of a∼0.2 fm.

Suggested Citation

  • Ph. de Forcrand & O. Philipsen, 2011. "The Chiral Critical Surface of QCD," Springer Books, in: Wolfgang E. Nagel & Dietmar B. Kröner & Michael M. Resch (ed.), High Performance Computing in Science and Engineering '10, pages 43-51, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-15748-6_4
    DOI: 10.1007/978-3-642-15748-6_4
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