Phase diagram of two-color quark matter at nonzero baryon and isospin density

Journal Article · Sat May 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.096004· OSTI ID:21409988

Andersen, Jens O ^[1]; Brauner, Tomas ^[2]

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1. Department of Physics, Norwegian University of Science and Technology, Hoegskoleringen 5, N-7491 Trondheim (Norway)
2. Institut fuer Theoretische Physik, Goethe-Universitaet, Max-von-Laue-Strasse 1, D-60438 Frankfurt am Main (Germany)

We investigate the properties of cold dense quark matter composed of two colors and two flavors of light quarks. In particular, we perform the first model calculation of the full phase diagram at nonzero baryon and isospin density, thus matching the model-independent predictions of chiral perturbation theory at low density to the conjectured phase structure at high density. We confirm the presence of the Fulde-Ferrell phase in the phase diagram and study its dependence on the tunable parameter in the Lagrangian that simulates the effects of the quantum axial anomaly. As a by-product, we clarify the calculation of the thermodynamic potential in the presence of the Fulde-Ferrell pairing, which was previously based on an ad hoc subtraction of an unphysical cutoff artifact. Furthermore, we argue that close to the diquark (or pion) Bose-Einstein condensation transition, the system behaves as a dilute Bose gas so that our simple fermionic model in the mean-field approximation is not quantitatively adequate. We suggest that including thermal fluctuations of the order parameter for Bose-Einstein condensation is crucial for understanding available lattice data.

• OSTI ID: 21409988
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 9; Other Information: DOI: 10.1103/PhysRevD.81.096004; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
BARYONS
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN GAS
BY-PRODUCTS
CHIRALITY
COMPUTERIZED SIMULATION
D QUARKS
DENSITY
FLUCTUATIONS
FORECASTING
ISOSPIN
LAGRANGIAN FUNCTION
MEAN-FIELD THEORY
PERTURBATION THEORY
PHASE DIAGRAMS
PIONS
QUARK MATTER
U QUARKS
BOSONS
CALCULATION METHODS
DIAGRAMS
ELEMENTARY PARTICLES
FERMIONS
FUNCTIONS
HADRONS
INFORMATION
MATTER
MESONS
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
PSEUDOSCALAR MESONS
QUARKS
SIMULATION
VARIATIONS