Localized non-Abelian gauge fields in non-compact extra-dimensions

Abstract

Dynamical localization of non-Abelian gauge fields in non-compact flat $D$ dimensions is worked out. The localization takes place via a field-dependent gauge kinetic term when a field condenses in a finite region of spacetime. Such a situation typically arises in the presence of topological solitons. We construct four-dimensional low-energy effective Lagrangian up to the quadratic order in a universal manner applicable to any spacetime dimensions. We devise an extension of the $R_{\xi }$ gauge to separate physical and unphysical modes clearly. Out of the D-dimensional non-Abelian gauge fields, the physical massless modes reside only in the four-dimensional components, whereas they are absent in the extra-dimensional components. The universality of non-Abelian gauge charges holds due to the unbroken four-dimensional gauge invariance. We illustrate our methods with models in $D=5$ (domain walls), in $D=6$ (vortices), and in $D=7$.

42 pages, 9 figures, several references are added

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Cited by in corpus (5)

• Massless bosons on domain walls: Jackiw-Rebbi-like mechanism for bosonic fields
• Fermion Mass Hierarchy and Phenomenology in the 5D Domain Wall Standard Model
• Localization of $U(1)$ gauge field by non-minimal coupling with gravity
• Nambu-Goldstone boson phenomenology in Domain-Wall Standard Model
• SM gauge fields localized on non-Abelian vortices in 6 dimensions