U(1) gauge vector field on a codimension-2 brane

Fu, Chu-Li; Zhong, Yuan; Liu, Yu-Xiao

doi:10.1007/jhep01(2019)021

Cited by 11 publications

(25 citation statements)

References 51 publications

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“…Following the method in ref. [58], we proved that there is no contradiction among the consistency conditions in our model. It means that a fourdimensional free U(1) gauge field theory can be obtained by reducing the six-dimensional action.…”

Section: Jhep05(2021)017supporting

confidence: 50%

“…propose a braneworld model which satisfies both the consistency conditions [58] and the localization conditions [35] of the free U(1) gauge field. We expect that our model has the following properties.…”

Section: Jhep05(2021)017mentioning

confidence: 99%

“…In this subsection, we study the localization of the free U(1) gauge field following the method in ref. [58]. This method avoids the difficulty of solving the equation of motion of the vector field in a higher-dimensional curved spacetime.…”

Section: Vector Fieldsmentioning

confidence: 99%

“…The consistency conditions of localization of the six-dimensional free U(1) gauge field have been investigated in refs. [58][59][60], which must be satisfied for a six-dimensional braneworld model. The geometry in ref.…”

Section: Introductionmentioning

confidence: 99%

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Smooth braneworld in 6-dimensional asymptotically AdS spacetime

Wan

Cui

Feng

et al. 2021

J. High Energ. Phys.

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In this paper, we investigate a six-dimensional smooth thick braneworld model which contains a compact extra dimension and an infinite large one. The braneworld is generated by a real scalar field with a ϕ6 potential and the bulk is an asymptotically AdS6 spacetime. The geometry achieves the localization of the free U(1) gauge field, which is a problem in five-dimensional Randall-Sundrum-like models. In addition, we analyze the stability of the braneworld system and the localization of the graviton.

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Section: Jhep05(2021)017supporting

confidence: 50%

Section: Jhep05(2021)017mentioning

confidence: 99%

Section: Vector Fieldsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Smooth braneworld in 6-dimensional asymptotically AdS spacetime

Wan

Cui

Feng

et al. 2021

J. High Energ. Phys.

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“…Generally, for most of the models in co-dimendion 2 or higher, the free U (1) gauge field is already naturally confined just by minimum couplings with gravity [34][35][36][37]64,[70][71][72]. Thus, there are not many localization mechanisms for this field in those dimensional configurations.…”

Section: (Iv) Localization In Codimension 2 or Higher Modelsmentioning

confidence: 99%

Consistency conditions for fields localization on braneworlds

2020

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The general procedure for analyzing the localization of matter fields in brane models is by integrating, in the action, its zero-mode solutions over the extra dimensions. If this is finite, the field is said to be localized. However, the zero-mode solutions must also satisfy the Einstein equations. With this in mind, we obtain stringent constraints on a general energy-momentum tensor by analyzing the Einstein equations. These consistency conditions must be satisfied for any braneworld model. We apply it for some fields of the Standard Model. For a free massless scalar field, the zero-mode localization is consistent only if the field does not depend on the extra dimensions. For the spin 1 2 field with Yukawa-like interactions, we find a very specific relation between Yukawa function and the warp factor. As a consequence, the spinor field localization becomes inconsistent for most of the models studied in the literature. For the free vector field case, we find that the zero modes do not satisfy the consistency conditions. Finally, we consider the mechanisms proposed to localize this field. We find that a few survive, and even for these, the consistency conditions fix the free parameters or the possible class of solutions allowed.

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Configurational Entropy and Newton's Law in Double Sine‐Gordon Braneworlds

et al. 2019

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The Shannon-like entropic measure of spatially localized functions for a 5D braneworld generated by a double sine-Gordon (DSG) potential is evaluated. The differential configurational entropy (DCE) has been shown in several recent works to be a configurational informational measure (CIM) that selects critical points and brings out phase transitions in confined energy models with arbitrary parameters. The DSG scenario is selected because it presents an energy-degenerate spatially localized profile where the solutions to the scalar field demonstrate critical behavior that is only a result of geometrical effects. As is shown, the DCE evaluation provides a method for predicting the existence of a transition between the phases of the domain wall solutions. Moreover, the entropic measure reveals information about the model that is capable of describing the phase sector where resonance modes on the massive spectra of the graviton is obtained. The graviton resonance lifetimes are related to the existence of scales on which 4D gravity is recovered. Thus, the critical points defined by the CIMs with the existence of resonances and their lifetimes are correlated. To extend the research regarding this system, the corrections to Newton's law coming from the graviton modes are calculated.

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U(1) gauge vector field on a codimension-2 brane

Cited by 11 publications

References 51 publications

Smooth braneworld in 6-dimensional asymptotically AdS spacetime

Smooth braneworld in 6-dimensional asymptotically AdS spacetime

Consistency conditions for fields localization on braneworlds

Configurational Entropy and Newton's Law in Double Sine‐Gordon Braneworlds

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