Gravitational catalysis of chiral and color symmetry breaking of quark matter in hyperbolic space

Journal Article · Thu Oct 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.085019· OSTI ID:21325409

Ebert, D ^[1]; Tyukov, A V; Zhukovsky, V Ch ^[2]

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1. Joint Institute for Nuclear Research, Dubna, R-141980 (Russian Federation)
2. Faculty of Physics, Department of Theoretical Physics, Moscow State University, 119991, Moscow (Russian Federation)

We study the dynamical breaking of chiral and color symmetries of dense quark matter in the ultrastatic hyperbolic spacetime R x H{sup 3} in the framework of an extended Nambu-Jona-Lasinio model. On the basis of analytical expressions for chiral and color condensates as functions of curvature and temperature, the phenomenon of dimensional reduction and gravitational catalysis of symmetry breaking in strong gravitational field is demonstrated in the regime of weak coupling constants. In the case of strong couplings it is shown that curvature leads to small corrections to the flat-space values of condensate and thus enhances the symmetry breaking effects. Finally, using numerical calculations phase transitions under the influence of chemical potential and negative curvature are considered and the phase portrait of the system is constructed.

• OSTI ID: 21325409
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CATALYSIS
CHIRAL SYMMETRY
CHIRALITY
COLOR MODEL
CONDENSATES
CORRECTIONS
COUPLING CONSTANTS
GRAVITATIONAL FIELDS
PHASE TRANSFORMATIONS
POTENTIALS
QUARK MATTER
SPACE-TIME
SYMMETRY
SYMMETRY BREAKING
WEAK-COUPLING MODEL