Spontaneous compactification and coupling constants inunified gauge theories
- 15 May 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 37 (10) , 2920-2933
- https://doi.org/10.1103/physrevd.37.2920
Abstract
A model problem is solved for a six-dimensional spacetime where ordinary four-space is flat and the two extra dimensions have the geometry of a two-sphere. The geometry is driven by coupled Yang-Mills and Higgs fields. The equations of motion are derived from a geometric theory of the canonical gravitation-Yang-Mills-Higgs fields. The constant radius of the two-sphere is determined. If certain reasonable values are taken for various arbitrary constants in the theory, the radius is of the order of the Planck length and an exact value for the coupling constant of the Yang-Mills field is obtained.Keywords
This publication has 8 references indexed in Scilit:
- Supersymmetric R2 actions, conformal invariance and the Lorentz Chern-Simons term in 6 and 10 dimensionsNuclear Physics B, 1987
- Higgs fields in Kaluza-Klein theory with dynamical torsionPhysics Letters B, 1985
- Curvature squared terms and string theoriesPhysics Letters B, 1985
- On Kaluza-Klein theoryAnnals of Physics, 1982
- Spontaneous compactification of space in an Einstein-Yang-Mills-Higgs modelNuclear Physics B, 1976
- Regular solution of 't Hooft's magnetic monopole model in curved spacePhysical Review D, 1976
- Higher-dimensional unifications of gravitation and gauge theoriesJournal of Mathematical Physics, 1975
- Magnetic monopoles in unified gauge theoriesNuclear Physics B, 1974