Universal aspects of U(1) gauge field localization on branes in D-dimensions

Freitas, L. F. F.; Alencar, G.; Landim, R. R.

doi:10.1007/jhep02(2019)035

Cited by 19 publications

(28 citation statements)

References 52 publications

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“…In higher-dimensional models, Ref. [61] carried out a general study of the abelian vector field localization through the couplings with the scalar and the Ricci tensor.…”

Section: Introductionmentioning

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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“…In higher-dimensional models, Ref. [61] carried out a general study of the abelian vector field localization through the couplings with the scalar and the Ricci tensor.…”

Section: Introductionmentioning

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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“…In Ref. [36] the vector field localization was also discussed and, again, the analysis was performed for the interacting case. In fact, Ref.…”

Section: Hodge Dualitymentioning

confidence: 99%

“…In fact, Ref. [36] discusses the free case, but only as a particular case. For the case of a p-form field, Ref.…”

Section: Hodge Dualitymentioning

confidence: 99%

“…Among them, the U (1) vector field (1-form) and the Kalb-Ramond field (2-form) has an important status. The study of the confinement of these two fields and another p-form was already widely performed in the literature [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49]. There are other related issues, such as that p-form fields have been used to provide the stabilization of the radius in RS-I model [50]; or, that one introduced torsion in RS-I scenarios [51]; or still, one addressed generation of inflation or gravitational waves [52,53]; among other issues [54][55][56].…”

Section: Introductionmentioning

confidence: 99%

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Consistency conditions for p-form field localization on codimension two braneworlds

2020

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In a recent work (Eur. Phys. J. C 80(5), 432, 2020), the present authors obtained general stringent conditions on the localization of fields in braneworlds by imposing the requirement that its zero mode must satisfy Einstein’s equations (EEs). In this manuscript, we continue this study by considering free p-form fields. These fields present an on-shell equivalency relation between a p-form and a $$(D-p-2)$$ ( D - p - 2 ) -form, provided by a Hodge duality (HD) transformation. This symmetry will impose a new consistency condition, namely, confinement of a p-form on the brane must imply the localization of its dual. We apply the above two conditions to 6D braneworld models. With this, we find that in global string-like defects, for example, the 1-form field has a normalizable zero mode. By using the HD as a guide, we show that its bulk dual 3-form field also has a normalizable zero mode, making the confinement consistent with HD. However, these solutions cannot be made consistent with EE, therefore, these fields must be ruled out. In fact, by imposing both conditions, only the scalar field and its dual can be consistently localized in codimension two braneworlds. In this way, all the literature so far in which the free vector field (1-form) is localized in codimension two models should be reviewed. These results also point to the fact that the symmetries of the fields can be used to verify the consistency of their localization and even prohibit it.

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Universal aspects of U(1) gauge field localization on branes in D-dimensions

Cited by 19 publications

References 52 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

Consistency conditions for p-form field localization on codimension two braneworlds

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