Integration of Kaluza-Klein modes in Yang-Mills theories

Journal Article · Sat Oct 01 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.076010· OSTI ID:21607838

Novales-Sanchez, H; Toscano, J J ^[1]

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1. Facultad de Ciencias Fisico Matematicas, Benemerita Universidad Autonoma de Puebla, Apartado Postal 1152, Puebla, Puebla (Mexico)

A five-dimensional pure Yang-Mills theory, with the fifth coordinate compactified on the orbifold S{sup 1}/Z{sub 2} of radius R, leads to a four-dimensional theory which is governed by two types of infinitesimal gauge transformations, namely, the well-known standard gauge transformations (SGT) dictated by the SU{sub 4}(N) group under which the zero Fourier modes A{sub {mu}}{sup (0)a} transform as gauge fields, and a set of nonstandard gauge transformations (NSGT) determining the gauge nature of the Kaluza-Klein (KK) excitations A{sub {mu}}{sup (m)a}. By using a SGT-covariant gauge-fixing procedure for removing the degeneration associated with the NSGT, we integrate out the KK excitations and obtain a low-energy effective Lagrangian expansion involving all of the independent canonical-dimension-six operators that are invariant under the SGT of the SU{sub 4}(N) group and that are constituted by light gauge fields, A{sub {mu}}{sup (0)a}, exclusively. It is shown that this effective Lagrangian is invariant under the SGT, but it depends on the gauge-fixing of the gauge KK excitations. Our result shows explicitly that the one-loop contributions of the KK excitations to light (standard) Green's functions are renormalizable.

• OSTI ID: 21607838
• Journal Information: Physical Review. D, Particles Fields, Vol. 84, Issue 7; Other Information: DOI: 10.1103/PhysRevD.84.076010; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CANONICAL DIMENSION
COMPACTIFICATION
EXCITATION
EXPANSION
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
GREEN FUNCTION
KALUZA-KLEIN THEORY
LAGRANGIAN FUNCTION
MANY-DIMENSIONAL CALCULATIONS
YANG-MILLS THEORY
ENERGY-LEVEL TRANSITIONS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
SCALE DIMENSION
UNIFIED-FIELD THEORIES