Cutoff effects of Wilson fermions on the QCD equation of state to O ( g 2 )

We compute the O(g{sup 2}) contribution to the thermodynamic pressure for Wilson fermions in the standard, the twisted mass, and the clover improved formulation in lattice perturbation theory, including finite mass effects. We compare the continuum approaches of these discretizations for the massive ideal and interacting gas. In all cases, for N{sub {tau}{>=}8} cutoff effects of Wilson-type fermions are comparable to those of staggered fermions, but asymptotic scaling requires N{sub {tau}>}10.

[1]  C. DeTar.  Recent progress in lattice QCD thermodynamics , 2008, 0811.2429.

[2]  K. Jansen,et al.  Phase structure of thermal lattice QCD with N f =2 twisted mass Wilson fermions , 2009, 0905.3112.

[3]  O(a) improvement of the axial current in lattice QCD to one-loop order of perturbation theory , 1996, hep-lat/9606016.

[4]  Peter Weisz,et al.  Chiral symmetry and O(a) improvement in lattice QCD , 1996 .

[5]  A. Athenodorou,et al.  The lattice free energy of QCD with clover fermions, up to three-loops , 2007, 0710.3856.

[6]  B. Ioffe,et al.  On Temperature Dependence of Correlators of Hadronic Currents , 1988 .

[7]  Quenched scaling of Wilson twisted mass fermions , 2005, hep-lat/0507010.

[8]  S. Capitani.  Lattice Perturbation Theory , 2002, hep-lat/0211036.

[9]  The pressure in 2, 2+1 and 3 flavour QCD , 2000, hep-lat/0002003.

[10]  M. Lüscher.  Advanced Lattice QCD , 1998 .

[11]  Thomas Hahn,et al.  Cuba - a library for multidimensional numerical integration , 2004, Comput. Phys. Commun..

[12]  K. Jansen,et al.  Twisted mass, overlap and Creutz fermions: Cut-off effects at tree-level of perturbation theory , 2008, 0802.3637.

[13]  R. Wohlert.  IMPROVED CONTINUUM LIMIT LATTICE ACTION FOR QUARKS , 1987 .

[14]  W. Florkowski,et al.  Spatial dependence of meson correlation functions at high temperature , 1994 .

[15]  K. Jansen,et al.  The finite-temperature phase structure of lattice QCD with twisted-mass Wilson fermions , 2008, 0809.5228.

[16]  J. Kapusta.  Quantum chromodynamics at high temperature , 1979 .

[17]  C. Gale,et al.  Finite-Temperature Field Theory: Heavy ion collisions , 2006 .

[18]  Chirally improving Wilson fermions 1. O(a) improvement , 2003, hep-lat/0306014.

[19]  Further results on O(a) improved lattice QCD to one-loop order of perturbation theory , 1997, hep-lat/9704001.

[20]  K. Symanzik,et al.  Continuum Limit and Improved Action in Lattice Theories. 1. Principles and phi**4 Theory , 1983 .

[21]  K. Jansen,et al.  Twisted mass QCD at finite temperature , 2007, 0710.0569.

[22]  P. Hegde,et al.  Lattice cut-off effects and their reduction in studies of QCD thermodynamics at non-zero temperature and chemical potential , 2008, 0801.4883.

[23]  B. Sheikholeslami,et al.  Improved continuum limit lattice action for QCD with wilson fermions , 1985 .

[24]  Scaling test for Wilson twisted mass QCD , 2003, hep-lat/0312013.