Localization of U(1) gauge vector field on flat branes with five-dimension (asymptotic) AdS5 spacetime

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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“…In another direction, Ref. [65] proposes G(y) as a function of the Ricci scalar, and also for this case the localization can be obtained.…”

Section: (I) Scalar Field Couplingmentioning

confidence: 99%

“…Another interesting model is presented in Ref. [65], where G(y) is a function of the Ricci scalar, namely,…”

Section: (I) Scalar Field Couplingmentioning

confidence: 99%

Consistency conditions for fields localization on braneworlds

2020

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“…In this paper, we will discuss the KK modes of U (1) gauge vector field in a brane model with codimension two. It is known that the localization of the vector field is difficult in five-dimensional brane world model, and so there are many literatures in order to find localization mechanism [34][35][36][37][38][39][40][41]. In this paper, would like to think about another question for the KK modes of a vector field, i.e., how to keep the invariance of the brane effective action.…”

Section: Introductionmentioning

confidence: 99%

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

Zhong

Liu

2019

J. High Energ. Phys.

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In this paper, we obtain a gauge invariant effective action for a bulk massless U (1) gauge vector field on a brane with codimension two by using a general Kaluza-Klein (KK) decomposition for the field. It suggests that there exist two types of scalar KK modes to keep the gauge invariance of the action for the massive vector KK modes. Both the vector and scalar KK modes can be massive. The masses of the vector KK modes m (n) contain two parts, m (n) 1 and m (n) 2 , due to the existence of the two extra dimensions. The masses of the two types of scalar KK modes m (n) φ and m (n) ϕ are related to the vector ones, i.e., m (n) φ = m (n) 1 and m (n) ϕ = m (n)2 . Moreover, we derive two Schrödinger-like equations for the vector KK modes, for which the effective potentials are just the functions of the warp factor.

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“…Checking for this kind of stability is a highly non-trivial task, strongly dependent on the field content of the model. Another important aspect is the localization of the Standard Model matter (gauge, scalar and fermion fields) onto the brane [29][30][31][32][33][34][35][36]. So far, different scenarios of thick branes have been studied in the literature, revealing that the localization mechanism of matter fields directly depends on the warp factor into the 5D metric [37].…”

Section: Introductionmentioning

confidence: 99%

A de Sitter tachyonic braneworld revisited

Barbosa-Cendejas

Cartas-Fuentevilla

Herrera–Aguilar

et al. 2018

J. Cosmol. Astropart. Phys.

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Abstract. Within the framework of braneworlds, several interesting physical effects can be described in a wide range of energy scales, starting from high-energy physics to cosmology and low-energy physics. An usual way to generate a thick braneworld model relies in coupling a bulk scalar field to higher dimensional warped gravity. Quite recently, a novel braneworld was generated with the aid of a tachyonic bulk scalar field, having several remarkable properties. It comprises a regular and stable solution that contains a relevant 3-brane with de Sitter induced metric, arising as an exact solution to the 5D field equations, describing the inflationary eras of our Universe. Besides, it is asymptotically flat, despite of the presence of a negative 5D cosmological constant, which is an interesting feature that contrasts with most of the known, asymptotically either dS or AdS models. Moreover, it encompasses a graviton spectrum with a single massless bound state, accounting for 4D gravity localized on the brane, separated from the continuum of Kaluza-Klein massive graviton modes by a mass gap that makes the 5D corrections to Newton's law to decay exponentially. Finally, gauge, scalar and fermion fields are also shown to be localized on this braneworld. In this work, we show that this tachyonic braneworld allows for a nontrivial solution with a vanishing 5D cosmological constant that preserves all the above mentioned remarkable properties with a less amount of parameters, constituting an important contribution to the construction of a realistic cosmological braneworld model. arXiv:1709.09016v1 [hep-th]

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Localization of U(1) gauge vector field on flat branes with five-dimension (asymptotic) AdS5 spacetime

Cited by 16 publications

References 43 publications

Consistency conditions for fields localization on braneworlds

Consistency conditions for fields localization on braneworlds

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

A de Sitter tachyonic braneworld revisited

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