Kaluza-Klein towers for spinors in warped spaces

Journal Article · Sun Mar 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.064019· OSTI ID:21260161

Grard, Fernand; Nuyts, Jean

All the boundary conditions compatible with the reduction of a five-dimensional spinor field of bulk mass M in a compactified warped space to a four-dimensional brane are derived from the Hermiticity conditions of the relevant operator. The possible presence of metric singularities is taken into account. Examples of resulting Kaluza-Klein spinor towers are given for a representative set of values for the basic parameters of the model and of the parameters describing the allowed boundary conditions, within the hypothesis that there exists one-mass-scale-only, the Planck mass. In many cases, the lowest mass in the tower is small and very sensitive to the parameters while the other masses are much higher and become more regularly spaced. In these cases, if a basic fermion of the standard model (lepton or quark) happens to be the lowest mass of a Kaluza-Klein tower, the other masses would be much larger and weakly dependent on the fermion which defines the tower.

• OSTI ID: 21260161
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
COMPACTIFICATION
FOUR-DIMENSIONAL CALCULATIONS
HYPOTHESIS
KALUZA-KLEIN THEORY
LEPTONS
MANY-DIMENSIONAL CALCULATIONS
MASS
QUARKS
SINGULARITY
SPINOR FIELDS
SPINORS
STANDARD MODEL