Thermodynamics of the ideal overlap quarks on the lattice

Details Thermodynamics of the ideal overlap quarks on the lattice Thermodynamics of the ideal overlap quarks on the lattice

2008-03-27

arxiv.org/abs/0803.3925v3

Phys.Rev.D78:014506,2008

Physics

High Energy Physics

High Energy Physics - Lattice

12 Pages, RevTex4, 12 Figures (included), Sections II, III A. reorganised, new Appendix added, more precise results in fig. 3,

Scientific paper

10.1103/PhysRevD.78.014506

The thermodynamics of massless ideal gas of overlap quarks has been investigated both analytically and numerically for both zero and nonzero baryon chemical potential. Any \mu^2-divergence is shown analytically to be absent for a class of actions with nonzero chemical potential. All such actions are shown to violate chiral invariance. While the parameter M can be shown to be irrelevant in the continuum limit, as expected, it is shown numerically that the continuum limit can be reached with relatively coarser lattices for certain ranges of M. Numerical limitations of the existing method of introduction of chemical potential are demonstrated. Finally we also show that the energy density for the massive overlap fermions has the correct continuum limit.

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