TY - JOUR

T1 - No scale nonlinear model, hedgehog compactification, and the cosmological constant

AU - Guendelman, E. I.

PY - 1994/1/1

Y1 - 1994/1/1

N2 - The no scale nonlinear 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 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 (Einsteins for 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.

AB - The no scale nonlinear 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 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 (Einsteins for 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.

UR - http://www.scopus.com/inward/record.url?scp=0642371217&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.50.7538

DO - 10.1103/PhysRevD.50.7538

M3 - Article

AN - SCOPUS:0642371217

VL - 50

SP - 7538

EP - 7541

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 12

ER -