Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-05-13
Phys.Rev.D84:076010,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, a new paragraph and some new equations were added
Scientific paper
10.1103/PhysRevD.84.076010
A five dimensional pure Yang--Mills theory, with the fifth coordinate compactified on the orbifold $S^1/Z_2$ of radius R, leads to a four dimensional theory which is governed by two types of local gauge transformations, namely, the well known standard gauge transformations (SGT) dictated by the $SU_4(N)$ group under which the zero Fourier modes transform as gauge fields, and a set of nonstandard gauge transformations (NSGT) determining the gauge nature of the Kaluza--Klein (KK) excitations. 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 $SU_4(N)$ group and that are constituted by light gauge fields (zero modes), 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.
Novales-Sánchez H.
Toscano J. . J.
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