High density quark matter in the Nambu-Jona-Lasinio model with dimensional versus cutoff regularization

Journal Article · Fri May 01 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.096008· OSTI ID:21308475

Fujihara, T; Kimura, D; Inagaki, T; Kvinikhidze, A ^[1]

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1. Department of Physics, Hiroshima University, Higashi-Hiroshima, Hiroshima 739-8526 (Japan)

We investigate color superconducting phase at high density in the extended Nambu-Jona-Lasinio model for two-flavor quarks. Because of the nonrenormalizability of the model, physical observables may depend on the regularization procedure; that is why we apply two types of regularization, the cutoff and the dimensional one to evaluate the phase structure, the equation of state, and the relationship between the mass and the radius of a dense star. To obtain the phase structure we evaluate the minimum of the effective potential at finite temperature and chemical potential. The stress tensor is calculated to derive the equation of state. Solving the Tolman-Oppenheimer-Volkoff equation, we show the relationship between the mass and the radius of a dense star. The dependence on the regularization is found not to be small, interestingly. The dimensional regularization predicts color superconductivity phase at rather large values of {mu} (in agreement with perturbative QCD in contrast to the cutoff regularization), in the larger temperature interval, the existence of heavier and larger quark stars.

• OSTI ID: 21308475
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DENSITY
EQUATIONS OF STATE
FLAVOR MODEL
MASS
POTENTIALS
QUANTUM CHROMODYNAMICS
QUARK MATTER
QUARKS
SIMULATION
STARS
SUPERCONDUCTIVITY