Chiral symmetry breaking in the Nambu--Jona-Lasinio model in curved spacetime with a nontrivial topology

Journal Article · Sun May 15 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.5551· OSTI ID:7271430

Elizalde, E ^[1]; Leseduarte, S; Odintsov, S D ^[2]

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1. Department E.C.M. and I.FE., Faculty of Physics, University of Barcelona, Diagonal 647, 0802, Barcelona (Spain) Center for Advanced Studies, C.S.I.C., Cami de Santa Barbara, 17300 Blanes, Catalonia (Spain)
2. Department E.C.M., Faculty of Physics, University of Barcelona, Diagonal 647, 08028 Barcelona, Catalonia (Spain)

We discuss the phase structure (in the 1/[ital N] expansion) of the Nambu--Jona-Lasinio model in curved spacetime with nontrivial topology [ital scrM][sup 3][times][ital S][sup 1]. The evaluation of the effective potential of the composite field [bar [psi]][psi] is presented in the linear curvature approximation (topology is treated exactly) and in the leading order of the 1/[ital N] expansion. The combined influence of topology and curvature to the phase transitions is investigated. It is shown, in particular, that at zero curvature and for small radius of the torus there is a second order phase transition from the chiral symmetric to the chiral nonsymmetric phase. When the curvature grows and (or) the radius of [ital S][sup 1] decreases, then the phase transition is in general of first order. The dynamical fermionic mass is also calculated in a number of different situations.

• OSTI ID: 7271430
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:10; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

661310 -- Relativity & Gravitation-- (1992-)
662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120* -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
MATHEMATICAL MODELS
MATHEMATICS
PARTICLE MODELS
PHASE STUDIES
PHASE TRANSFORMATIONS
POTENTIALS
SPACE-TIME
SYMMETRY
SYMMETRY BREAKING
TOPOLOGY