Localizing gauge fields on a topological Abelian string and the Coulomb law

Torrealba, S S Rafael

doi:10.1103/physrevd.82.024034

Cited by 13 publications

(34 citation statements)

References 39 publications

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“…This equality is verified in models such as the analytical case of topological Abelian string-vortex of Ref. [29],…”

Section: Bulk Geometry and Physical Propertiesmentioning

confidence: 66%

Graviton KK resonant modes in the correction of Newton's law from six-dimensional braneworlds

Araújo¹,

Veras²,

Dantas³

et al. 2019

EPL

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In this work, we derive an expression for the correction in the Newton's law of gravitation due to the gravitational Kaluza-Klein states in a general thick string-like braneworld scenario in six dimensions. In order to analyze corrections to Newton's law we study the gravity fluctuations in a 3-brane placed in a transverse resolved conifold and use suitable numerical methods to attain the massive spectrum and the corresponding eigenfunctions. Such braneworld model has a resolution parameter which removes the conical singularity.The correction has an exponentially suppressed mass term and depends on the values of the eigenfunctions and warp factors computed at the core peak of the brane. The spectrum is real and monotonically increased, as desired. However, the resolution parameter must assume moderate values to have physically acceptable states. Moreover, the trapped massless mode regains the 4D gravity and it is displaced from the origin, sharing similar profile with the energy density of brane for small values of resolution parameter. Finally, for the singular conifold, we found that a non-first eigenstate is a resonant mode. Such excited state is the largest contributor to corrections in the Newtonian potential.

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“…This equality is verified in models such as the analytical case of topological Abelian string-vortex of Ref. [29],…”

Section: Bulk Geometry and Physical Propertiesmentioning

confidence: 66%

Graviton KK resonant modes in the correction of Newton's law from six-dimensional braneworlds

Araújo¹,

Veras²,

Dantas³

et al. 2019

EPL

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“…On the other hand, studies of field localization are very common in the literature in 5D [30][31][32][33][34][35] and 6D braneworld [6,7,12,14,[26][27][28]. In general, we find strategies of localization for all the Standard Model fields but the way that this localization is possible varies in different works.…”

Section: Introductionmentioning

confidence: 90%

“…The boundary condition (29) [6-8, 12-14, 23, 25] as one can see in the metric (26). For c > 0 the convergence of the function (28) for C 1 = 0 or C 2 = 0, will depends essentially on the value of the ratio ω/c.…”

Section: Standing Waves Solutionmentioning

confidence: 99%

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Six-dimensional standing-wave braneworld with normal matter as source

2014

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A six dimensional standing wave braneworld model has been constructed. It consists in an anisotropic 4-brane generated by standing gravitational waves whose source is normal matter. In this model, the compact (on-brane) dimension is assumed to be sufficiently small in order to describe our universe (hybrid compactification). The bulk geometry is non-static, unlike most of the braneworld models in the literature. The principal feature of this model is the fact that the source is not a phantom like scalar field, as the original standing-wave model that was proposed in five dimensions and its six dimensional extension recently proposed in the literature. Here, it was obtained a solution in the presence of normal matter what assures that the model is stable. Also, our model is the first standing wave brane model in the literature which can be applied successfully to the hierarchy problem. Additionally, we have shown that the zero-mode for the scalar and fermionic fields are localized around the brane. Particularly for the scalar field we show that it is localized on the brane, regardless the warp factor is decreasing or increasing. This is in contrast to the case of the local string-like defect where the scalar field is localized for a decreasing warp factor only.

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“…In fact, the mass hierarchy is solved without any requirement of fine tuning between the bulk cosmological constant and the brane tension [11], with correction O(d −3 ) to the Newtonian potential [11][12][13][14][15] that is smaller than within five-dimensional (5D) models [2]. Moreover, 6D models support the localisation of free gauge zero modes, even in the thin brane case [16][17][18], whereas a scalar coupling in the AdS 5 case is demanded [4]. In Lorentz violation scenarios, a massless four-dimensional (4D) graviton can be confined in 6D [19], but it is not possible in the thin 5D model [20].…”

Section: Introductionmentioning

confidence: 99%

Exotic Elko on string-like defects in six dimensions

Dantas¹,

Rocha²,

Almeida³

2017

EPL

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We analyse the trapping of eigenspinors of the charge conjugation operator with dual helicity (Elko), in thin and thick string-like models with codimension-2. Elko spinor fields describe mass dimension one fermions in four dimensions (and, correspondingly, mass dimension two fermions in six dimensions), that represent natural dark matter prime candidates. This dark spinor has many applications, from particle physics to cosmology. On the other hand, six-dimensional brane-world models have, among other prominent features, the spontaneous confinement of free spin 1 fields and a mechanism that explains the mass hierarchy of fundamental fermions. In this paper, we use scalar couplings in order to confine the zero mode of Elko in six dimensions. Moreover, we use the Elko dark spinor features to propose an exotic coupling in order to remove the complex-valued terms in the massive Kaluza-Klein modes. Hence, we show that six dimensional models can resolve the main issues of Elko fields confinement presented in five dimensions.

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Localizing gauge fields on a topological Abelian string and the Coulomb law

Cited by 13 publications

References 39 publications

Graviton KK resonant modes in the correction of Newton's law from six-dimensional braneworlds

Graviton KK resonant modes in the correction of Newton's law from six-dimensional braneworlds

Six-dimensional standing-wave braneworld with normal matter as source

Exotic Elko on string-like defects in six dimensions

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