No scale nonlinear [sigma] model, hedgehog compactification, and the cosmological constant

Journal Article · Thu Dec 15 00:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.7538· OSTI ID:6785319

Guendelman, E I ^[1]

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1. Physics Department, Ben Gurion University of the Negev, Beer Sheba 84105 (Israel)

The no scale nonlinear [sigma] model'' is a six-dimensional (6D) Kaluza-Klein model containing an isovector scalar field whose dynamics has global SO(3) invariance and where a homogeneous nonlinear constraint is imposed. In contrast with the more standard nonlinear [sigma] model, this constraint does not determine a particular scale for the strength of the isovector scalar field. In this model we study a mechanism for the compactification of two dimensions into a sphere by the presence of a hedgehog configuration of the isovector scalar field. Consistency with the gravitational (Einstein's for [ital D]=6) equations forces the strength of the hedgehog to be the Planck scale. The resulting 4D effective cosmological constant is zero if the 6D cosmological constant is also zero, without the need of fine-tuning parameters in the Lagrangian.

• OSTI ID: 6785319
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 50:12; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
KALUZA-KLEIN THEORY
MANY-DIMENSIONAL CALCULATIONS
SIGMA MODEL
NONLINEAR PROBLEMS
COMPACTIFICATION
CONSTRAINTS
COSMOLOGICAL CONSTANT
DYNAMICS
EINSTEIN FIELD EQUATIONS
SCALAR FIELDS
SO-3 GROUPS
BOSON-EXCHANGE MODELS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
LIE GROUPS
MATHEMATICAL MODELS
MECHANICS
PARTICLE MODELS
PERIPHERAL MODELS
SO GROUPS
SYMMETRY GROUPS
UNIFIED-FIELD THEORIES
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
661310 - Relativity & Gravitation- (1992-)