Phase boundary for the chiral transition in (2+1)-flavor QCD at small values of the chemical potential

Journal Article · Sat Jan 01 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.014504· OSTI ID:21503886

Kaczmarek, O; Laermann, E ^[1]; Karsch, F ^[1]; Miao, C; Mukherjee, S; Petreczky, P ^[2]; Schmidt, C; Soeldner, W ^[3]; Unger, W ^[1]

---

1. Fakultaet fuer Physik, Universitaet Bielefeld, D-33615 Bielefeld (Germany)
2. Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (United States)
3. Frankfurt Institute for Advanced Studies, J. W. Goethe Universitaet Frankfurt, D-60438 Frankfurt am Main (Germany)

We determine the chiral phase transition line in (2+1)-flavor QCD for small values of the light quark chemical potential. We show that for small values of the chemical potential the curvature of the phase transition line can be deduced from an analysis of scaling properties of the chiral condensate and its susceptibilities. To do so we extend earlier studies of the magnetic equation of state in (2+1)-flavor QCD to finer lattice spacings, aT=1/8. We use these universal scaling properties of the chiral order parameter to extract the curvature of the transition line at two values of the cutoff, aT=1/4 and 1/8. We find that cutoff effects are small for the curvature parameter and determine the transition line in the chiral limit to leading order in the light quark chemical potential. We obtain T{sub c}({mu}{sub q})/T{sub c}(0)=1-0.059(2)(4)({mu}{sub q}/T){sup 2}+O({mu}{sub q}{sup 4}).

• OSTI ID: 21503886
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 1; Other Information: DOI: 10.1103/PhysRevD.83.014504; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
CONDENSATES
D QUARKS
EQUATIONS OF STATE
FLAVOR MODEL
ORDER PARAMETERS
PHASE TRANSFORMATIONS
QUANTUM CHROMODYNAMICS
SCALING
U QUARKS
COMPOSITE MODELS
DIMENSIONLESS NUMBERS
EQUATIONS
FERMIONS
FIELD THEORIES
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS