Kaluza-Klein theory in the limit of large number of extra dimensions
- Centro de Estudios Cientificos (CECS), Casilla 1469, Valdivia (Chile)
The Kaluza-Klein compactification in the limit of a large number of extra dimensions is studied. The starting point is the Einstein-Hilbert action plus cosmological constant in 4+D dimensions. It is shown that in the large D limit the effective four-dimensional cosmological constant is of order 1/D, whereas the size of the extra dimensions remains finite. A 't Hooft-like large D expansion of the effective Lagrangian for the Kaluza-Klein scalar and gauge fields arising from the dimensional reduction is considered. It is shown that the propagator of the scalar field associated to the determinant of the metric of the extra dimensions is strongly suppressed. This is an interesting result as in standard Kaluza-Klein theory this scalar degree of freedom is responsible for the constraint on the gauge fields which makes it impossible to recover the usual Yang-Mills equations. Moreover in the large D limit it turns out that the ultraviolet divergences due to the interactions between gauge and scalar fields are softened.
- OSTI ID:
- 21325383
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 80, Issue 8; Other Information: DOI: 10.1103/PhysRevD.80.084039; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
COMPACTIFICATION
COSMOLOGICAL CONSTANT
DEGREES OF FREEDOM
EXPANSION
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
INTERACTIONS
KALUZA-KLEIN THEORY
LAGRANGIAN FUNCTION
MANY-DIMENSIONAL CALCULATIONS
METRICS
PROPAGATOR
SCALAR FIELDS
ULTRAVIOLET DIVERGENCES
YANG-MILLS THEORY