2011/05/31 by H. Novales–Sánchez, H. Novales-Sánchez, J. J. Toscano · 1 citation
Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Gauge anomaly #Gauge boson #Gauge fixing #Gauge group #Gauge theory #Hamiltonian lattice gauge theory #Introduction to gauge theory #Kaluza–Klein theory #Lattice gauge theory #Mathematical physics #Noncommutative and Quantum Gravity Theories #Orbifold #Particle physics theoretical and experimental studies #Physics #Quantum gauge theory #Supersymmetric gauge theory #Yang–Mills theory #hep-ph
paper · pdf · doi:10.1103/physrevd.84.076010
published as Phys.Rev.D84:076010,2011 · 17 pages, a new paragraph and some new equations were added
openalex publication_date 2011/10/31 · arxiv created 2011/11/16 · arxiv updated 2011/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A five-dimensional pure Yang-Mills theory, with the fifth coordinate compactified on the orbifold S1/Z2 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 SU4(N) group under which the zero Fourier modes A_\ensuremathμ(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_\ensuremathμ(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 SU4(N) group and that are constituted by light gauge fields, A_\ensuremathμ(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.