QCD thermal phase transition in the presence of a small chemical potential
Abstract
We propose a new method to investigate the thermal properties of QCD with a small quark chemical potential μ. Derivatives of quark and gluonic observables with respect to μ are computed at μ=0 for two flavors of p4 improved staggered fermions with ma=0.1,0.2 on a 16^{3}×4 lattice, and used to calculate the leading order Taylor expansion in μ of the location of the pseudocritical point about μ=0. This expansion should be well behaved for the small values of μ_{q}/T_{c}~0.1 relevant for BNL RHIC phenomenology, and predicts a critical curve T_{c}(μ) in reasonable agreement with estimates obtained using exact reweighting. In addition, we contrast the case of isoscalar and isovector chemical potentials, quantify the effect of μ≠0 on the equation of state, and comment on the complex phase of the fermion determinant in QCD with μ≠0.
 Publication:

Physical Review D
 Pub Date:
 October 2002
 DOI:
 10.1103/PhysRevD.66.074507
 arXiv:
 arXiv:heplat/0204010
 Bibcode:
 2002PhRvD..66g4507A
 Keywords:

 11.15.Ha;
 05.70.Ce;
 12.38.Gc;
 12.38.Mh;
 Lattice gauge theory;
 Thermodynamic functions and equations of state;
 Lattice QCD calculations;
 Quarkgluon plasma;
 High Energy Physics  Lattice;
 High Energy Physics  Phenomenology;
 Nuclear Theory
 EPrint:
 26 pages, 25 figures, minor modification