Localization of gauge bosons and the Higgs mechanism on topological solitons in higher dimensions

Abstract

We provide complete and self-contained formulas about localization of massless/massive Abelian gauge fields on topological solitons in generic D dimensions via a field dependent gauge kinetic term. The localization takes place when a stabilizer (a scalar field) is condensed in the topological soliton. We show that the localized gauge bosons are massless when the stabilizer is neutral. On the other hand, they become massive for the charged stabilizer as a consequence of interplay between the localization mechanism and the Higgs mechanism. For concreteness, wegive two examples in six dimensions. The one is domain wall intersections and the other is an axially symmetric soliton background. arXiv:1907.04573v1 [hep-th]

SM gauge fields localized on non-Abelian vortices in 6 dimensions

“…Since the square-integrability does not depend on details of the model, this localization mechanism is robust. We verified this statement in various concrete models in five dimensional spacetime [11][12][13][14][15], and also gave a formal proof in generic spacetime dimensions [16,17]. With the nontrivial kinetic function, we also found an interesting localization mechanism of massless scalar fields [18] on domain walls similarly to Eq.…”

“…The analysis in this section is a generalization of that in Refs [11][12][13][14][15],. for the fat brane-world scenario with the domain wall in five dimensions, and is a refinement of that in Refs [16,17]. which also studied similar problems in higher dimensions.…”

“…If this is the case, the inverse effective gauge coupling β is no longer constant and depends on extra-dimensional coordinates nontrivially. With a series of our previous works [11][12][13][14][15][16][17], we have established a general criterion to obtain massless gauge fields on the topological solitons: if β 2 is square integrable with respect to the integration over the whole extra dimensions, the massless four-dimensional gauge fields are localized on the topological soliton. Since the square-integrability does not depend on details of the model, this localization mechanism is robust.…”

Quarkonia Formation in a Holographic Gravity–Dilaton Background Describing QCD Thermodynamics

“…The gauge field A in the bulk was sourced by a current operator of the structureQγ µ Q at the boundary, where Q stands for the heavy quark field operator. The structure of ( 1) is that of a field-dependent gauge kinetic term, familiar, e.g., from realizations of a localization mechanism in brane world scenarios [55][56][57].…”

Holographic vector mesons in a dilaton background

“…where the function G m (φ(z)) carries the flavor (or quark-mass, symbolically m) dependence and F 2 is the field strength tensor squared of a U(1) gauge field A in 5D asymptotic Anti-de Sitter (AdS) space time with the bulk coordinate z and metric fundamental determinant g 5 ; φ is the scalar dilaton field (with zero mass dimension). The structure of (1) is that of a field-dependent gauge kinetic term, familiar, e.g., from realizations of a localization mechanism in brane world scenarios [58,59,60]. In holographic Einstein-Maxwell-dilaton models (cf.…”