Fermion localization and resonances on two-field thick branes

Almeida, C. A. S.; Casana, R.; Ferreira, Manoel M.; Gomes, Adalto R.

doi:10.1103/physrevd.79.125022

Cited by 141 publications

(222 citation statements)

References 53 publications

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“…Let us work in the z variable and set the spin 1/2 fermion action in 5D as [11,[16][17][18][19]36, 37, 39, 52]…”

Section: Corrections To Coulomb Law In the Sine-gordon Branesmentioning

confidence: 99%

“…Such studies were initially aimed to explain how the internal structure of the defects involving kink solutions obtained from the potential φ 4 can interfere with localization of different fields on the brane [9][10][11][12]. As an example, we can cite the Bloch Brane models generated by one or more scalar fields [13][14][15], in which the localization of tensorial and spinorial fields and the search for resonant states were the subject of several works [14,[16][17][18].…”

Section: Introductionmentioning

confidence: 99%

“…In order to analyse the influence of massive vector modes in the Coulomb law, we also perform the fermion field localization in the SG and the DSG branes. This method of massless spin 1/2 confinement is very often in 5D models [11,[16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

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Multiresonance modes in sine–Gordon brane models

et al. 2016

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In this work, we study the localization of the vector gauge field in two fivedimensional braneworlds generated by scalar fields coupled to gravity. The sine-Gordon like potentials are employed to produce different thick brane setups. A zero mode localized is obtained, and we show the existence of reverberations with the wave solutions indicating a quasi-localized massive mode. More interesting results are achieved when we propose a double sineGordon potential to the scalar field. The resulting thick brane shows a more detailed topology with the presence of an internal structure composed by two kinks. The massive spectrum of the gauge field is revalued on this scenario revealing the existence of various resonant modes. Furthermore, we compute the corrections to Coulomb law coming from these massive KK vector modes in these thick scenarios, where is concluded that the dilaton parameter regulates these corrections.

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“…Let us work in the z variable and set the spin 1/2 fermion action in 5D as [11,[16][17][18][19]36, 37, 39, 52]…”

Section: Corrections To Coulomb Law In the Sine-gordon Branesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multiresonance modes in sine–Gordon brane models

et al. 2016

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“…The case of Spinorial fields has been considered in D = 5, 6 braneworld models [15][16][17][18][19]. In the RSM-II framework Dirac's fermions are not localized, as mentioned previously.…”

Section: Jhep02(2018)018mentioning

confidence: 99%

Spinors fields in co-dimension one braneworlds

Mendes

Alencar

Landim

2018

J. High Energ. Phys.

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Abstract:In this work we analyze the zero mode localization and resonances of 1/2−spin fermions in co-dimension one Randall-Sundrum braneworld scenarios. We consider deltalike, domain walls and deformed domain walls membranes. Beyond the influence of the spacetime dimension D we also consider three types of couplings: (i) the standard Yukawa coupling with the scalar field and parameter η 1 , (ii) a Yukawa-dilaton coupling with two parameters η 2 and λ and (iii) a dilaton derivative coupling with parameter h. Together with the deformation parameter s, we end up with five free parameter to be considered. For the zero mode we find that the localization is dependent of D, because the spinorial representation changes when the bulk dimensionality is odd or even and must be treated separately. For case (i) we find that in odd dimensions only one chirality can be localized and for even dimension a massless Dirac spinor is trapped over the brane. In the cases (ii) and (iii) we find that for some values of the parameters, both chiralities can be localized in odd dimensions and for even dimensions we obtain that the massless Dirac spinor is trapped over the brane. We also calculated numerically resonances for cases (ii) and (iii) by using the transfer matrix method. We find that, for deformed defects, the increasing of D induces a shift in the peaks of resonances. For a given λ with domain walls, we find that the resonances can show up by changing the spacetime dimensionality. For example, the same case in D = 5 do not induces resonances but when we consider D = 10 one peak of resonance is found. Therefore the introduction of more dimensions, diversely from the bosonic case, can change drastically the zero mode and resonances in fermion fields.

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“…This is a known property already demonstrated by Jackiw and Rebbi [18] for domain walls. For some models, the massive fermionic states leak from the branes but stay for a sufficiently longer time to be characterized as resonances [19][20][21][22][23][24][25][26][27]. In particular, the Ref.…”

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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Fermion localization and resonances on two-field thick branes

Cited by 141 publications

References 53 publications

Multiresonance modes in sine–Gordon brane models

Multiresonance modes in sine–Gordon brane models

Spinors fields in co-dimension one braneworlds

Trapping Dirac fermions in tubes generated by two scalar fields

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