Diquark and pion condensation in random matrix models for two-color QCD

Journal Article · Fri Jul 01 00:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.015007· OSTI ID:20711074

Klein, B; Toublan, D; Verbaarschot, J J.M. ^[1]

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1. Institute for Theoretical Physics, University of Heidelberg, Philosophenweg 19, 69120 Heidelberg (Germany)

We introduce a random matrix model with the symmetries of QCD with two colors at nonzero isospin and baryon chemical potentials and temperature. We analyze its phase diagram and find phases with condensation of pion and diquark states in addition to the phases with spontaneously broken chiral symmetries. In the limit of small chemical potentials and quark masses, we reproduce the mean field results obtained from chiral Lagrangians. As in the case of QCD with three colors, the presence of two chemical potentials breaks the flavor symmetry and leads to phases that are characterized by different behaviors of the chiral condensates for each flavor. In particular, the phase diagram we obtain is similar to QCD with three colors and three flavors of quarks of equal masses at zero baryon chemical potential and nonzero isospin and strange chemical potentials. A tricritical point of the superfluid transitions found in lattice calculations and from an analysis in terms of chiral Lagrangians does not appear in the random matrix model. Remarkably, at fixed isospin chemical potential, for the regions outside of the superfluid phases, the phase diagrams in the temperature--baryon chemical potential plane for two colors and three colors are qualitatively the same.

• OSTI ID: 20711074
• Journal Information: Physical Review. D, Particles Fields, Vol. 72, Issue 1; Other Information: DOI: 10.1103/PhysRevD.72.015007; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
CHIRAL SYMMETRY
CHIRALITY
COLOR MODEL
FLAVOR MODEL
ISOSPIN
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
LATTICE FIELD THEORY
MEAN-FIELD THEORY
PHASE DIAGRAMS
PION CONDENSATION
PIONS
POTENTIALS
QUANTUM CHROMODYNAMICS
QUARKS
RANDOMNESS
REST MASS
SUPERFLUIDITY
SYMMETRY BREAKING