Thermodynamics of two flavor QCD to sixth order in quark chemical potential
By C. Allton, M. Doring, S. Ejiri, S. Hands, O. Kaczmarek, F. Karsch, E. Laermann, K. Redlich. 2005
326 citations recorded by the source corpus.
We present results of a simulation of two flavor QCD on a 16{sup 3}x4 lattice using p4-improved staggered fermions with bare quark mass m/T=0.4. Derivatives of the thermodynamic grand canonical partition function Z(V,T,{mu}{sub u},{mu}{sub d}) with respect to chemical potentials {mu}{sub u,d} for different quark flavors are calculated up to sixth order, enabling estimates of the pressure and the quark number density as well as the chiral condensate and various susceptibilities as functions of {mu}{sub q}=({mu}{sub u}+{mu}{sub d})/2 via Taylor series expansion. Furthermore, we analyze baryon as well as isospin fluctuations and discuss the relation between the radius of convergence of the Taylor series and the chiral critical point in the QCD phase diagram. We argue that bulk thermodynamic observables do not, at present, provide direct evidence for the existence of a chiral critical point in the QCD phase diagram. Results are compared to high temperature perturbation theory as well as a hadron resonance gas model.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/0905fb6072bb83536b0b5ac74ceadbd0829e2fbc
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In Nuclear and High Energy Physics
- C. Fischer
- T. Hatsuda
- Kenji Fukushima
- Philippe de Forcrand
- Owe Philipsen
- P. Hegde
- E. Laermann
- O. Kaczmarek
Citations in the corpus
- The chiral critical line of Nf = 2+1 QCD at zero and non-zero baryon density (2006, background): “Our study of the chiral critical surface also suggests that one cannot draw conclusions for physical QCD from simulations of the critical point in Nf = 2 QCD [26, 21].”
- The phase diagram of dense QCD (2010, background): “If μq is small enough, the right-hand side of (22) can be expanded in terms of μq/T [114, 115, 116],”
- Results from the Relativistic Heavy Ion Collider (2006, unknown): “C. R. Allton et al. 2005.”
- Chiral crossover in QCD at zero and non-zero chemical potentials (2018, background): “The detailed expressions for C 2n and C χ 2n in terms of the Dirac matrices for u, d, s quarks can be found in [10, 11].”