Bloch Brane

Bazeia, D.; Gomes, Adalto R.

doi:10.1088/1126-6708/2004/05/012

Cited by 244 publications

(375 citation statements)

References 32 publications

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“…We should also remark that similar analysis can also be extended for generalized scalar and gravity dynamics [54,57]. Finally apart from the specific directions we have mentioned above the results of this work can find extensions in various aspects of thick brane dynamics including search for particular solutions and probing phenomenology of localized gravity, gauge and matter fields in various geometries [20,58,59,60,61,62,63,64,65].…”

Section: Resultsmentioning

confidence: 56%

Supergravity-induced interactions on thick branes

Yilmaz¹

2014

Chinese Phys. B

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The gravity coupling of the symmetric space sigma model is studied in the solvable Lie algebra parametrization. The corresponding Einstein's equations are derived and the energy-momentum tensor is calculated. The results are used to derive the dynamical equations of the warped 5D geometry for localized bulk scalar interactions in the framework of thick brane world models. The Einstein and scalar field equations are derived for flat brane geometry in the context of minimal and non-minimal gravity-bulk scalar couplings.

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Section: Resultsmentioning

confidence: 56%

Supergravity-induced interactions on thick branes

Yilmaz¹

2014

Chinese Phys. B

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“…The richer structure of degenerate and critical Bloch branes where proposed in [49]. In [15] it was shown that the presence of the field χ is crucial to giving internal structure to the brane. In the present work the presence of the field χ also contributes to generate an internal structure to the tube formed.…”

Section: A Tube In (3 1)-dimensionsmentioning

confidence: 99%

“…Usual Newton's law can then be reproduced on the brane depending on the metric warp factor, attained after solving Einstein's equations. Several extensions soon appeared, with smooth thick branes constructed by scalar fields [7][8][9][10][11][12][13][14][15][16]. A comprehensive review on this subject can be found in [17].…”

Section: Introductionmentioning

confidence: 99%

Trapping Dirac fermions in tubes generated by two scalar fields

et al. 2014

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In this work we consider (1, 1)−dimensional resonant Dirac fermionic states on tube-like topological defects. The defects are formed by rings in (2, 1) dimensions, constructed with two scalar field φ and χ, and embedded in the (3, 1)−dimensional Minkowski spacetime. The tube-like defects are attained from a lagrangian density explicitly dependent with the radial distance r relative to the ring axis and the radius and thickness of the its cross-section are related to the energy density. For our purposes we analyze a general Yukawa-like coupling between the topological defect and the fermionic field ηF (φ, χ)ψψ. With a convenient decomposition of the fermionic fields in left-and right-chiralities, we establish a coupled set of first order differential equations for the amplitudes of the left-and right-components of the Dirac field. After decoupling and decomposing the amplitudes in polar coordinates, the radial modes satisfy Schrödinger-like equations whose eigenvalues are the masses of the fermionic resonances. With F (φ, χ) = φχ the Schrödinger-like equations are numerically solved with appropriated boundary conditions. Several resonance peaks for both chiralities are obtained, and the results are confronted with the qualitative analysis of the Schrödinger-like potentials.

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“…A smooth warp factor was investigated? [4][5][6][7][8][9][10][11], but also it did not yield localized gauge fields. Some models obtained the localization by the addition of new degrees of freedom such as a scalar or dilaton fields, but a more natural approach would be to obtain an extension of minimal couplings that would localize the gauge field without introducing other fields.…”

mentioning

confidence: 95%

“…These singularities can be smoothed out through the introduction of kink-like membranes such as in Refs. [5][6][7][8][9] that recovers the RS case only asymptotically. Therefore the best approach is to consider a general warp factor A and to look for a solution to the problem that does not depend on it.…”

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confidence: 99%

Nonminimal couplings in Randall-Sundrum scenarios

et al. 2015

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In this paper we propose a new way of obtaining four dimensional gauge invariant U (n) gauge field from a bulk action. The results are valid for both Randall-Sundrum scenarios and are obtained without the introduction of other fields or new degrees of freedom. The model is based only in nonminimal couplings with the gravity field. We show that two non-minimal couplings are necessary, one with the field strength and the other with a mass term. Despite the loosing of five dimensional gauge invariance by the mass term a massless gauge field is obtained over the brane. To obtain this, we need of a fine tuning of the two parameters introduced through the couplings. The fine tuning is obtained by imposing the boundary conditions and to guarantee non-abelian gauge invariance in four dimensions. With this we are left with no free parameters and the model is completely determined. The model also provides analytical solutions to the linearized equations for the zero mode and for a general warp factor.PACS numbers: 64.60.ah, 64.60.al, 89.75.Da The Randall Sundrum (RS) model appeared in the Physics of higher dimensions as an alternative to compactification that included the possibility of solving the Hierarchy problem [1,2]. To solve the physical problem of dimensional reduction, the RS models should obtain fields with zero mode confined to the brane in order to recoverer the Physical models when the fields are properly integrated over the extra dimension. In the noncompact case, the gravity field localization is attained, however gauge fields as simple as U (1) minimally coupled to gravity are not localized and this was a problem to the theory [2,3]. For the compact case the problem appears when we consider non-abelian gauge fields. After the Fourier decomposition of the zero mode and the normalization dzψ 2 = 1 we have that dzψ 3 m=0 = 1, and the gauge invariance in four dimensions is lost [4]. A number of extensions to RS were proposed in order to provide localized gauge fields for the non-compact case. A smooth warp factor was investigated? [4][5][6][7][8][9][10][11], but also it did not yield localized gauge fields. Some models obtained the localization by the addition of new degrees of freedom such as a scalar or dilaton fields, but a more natural approach would be to obtain an extension of minimal couplings that would localize the gauge field without introducing other fields. A step in this direction was the introduction of a boundary interaction with the field strength [12], but it is known that this produces only a quasi-localized zero mode.Other idea is the breaking of the U (1) gauge invariance in five dimensions by the addition of a mass term. It was found that the only consistent way of getting a localized zero mode is again the introduction of a boundary term, this time with the mass term [13]. Soon it was shown that the boundary mass term was not enough to provide a consistent model in the case of Yang-Mills (YM) fields because non-abelian gauge invariance is lost in the membrane [4]. The work [4] shows th...

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Bloch Brane

Cited by 244 publications

References 32 publications

Supergravity-induced interactions on thick branes

Supergravity-induced interactions on thick branes

Trapping Dirac fermions in tubes generated by two scalar fields

Nonminimal couplings in Randall-Sundrum scenarios

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