p-Forms non-minimally coupled to gravity in Randall–Sundrum scenarios

Alencar, G.; Jardim, I. C.; Landim, R. R.

doi:10.1140/epjc/s10052-018-5829-6

Cited by 13 publications

(11 citation statements)

References 48 publications

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“…In the brane world theory, the zero modes can be regarded as particles living in four-dimensional space-time, while the massive KK modes might reveal the mysteries of extra dimensions. Thus, there has been many papers focus on these KK modes [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33].…”

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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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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“…Finally we get 14) where β p ≡ a 2 /4pM p . Note that just as in the of RSM-II case, here A(y) also represents a localized and smooth metric warp factor.…”

Section: The Thick Brane Casementioning

confidence: 99%

“…Recently, the problem of gauge fields localization was solved in two ways: (i) introducing a new degree of freedom in gravitation action, called dilaton [8], or (ii) introducing non-minimal coupling called geometrical coupling [9][10][11][12], where no news degrees of freedom are necessary. However, all these works considers only D = 5 and by then nobody had studied the conditions for localization of zero modes of these fields, except for q-forms [13,14].…”

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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“…We also constructed a model for localization of the gauge fields using the Ricci tensor. In this attempt we used the Ricci tensor computed from the conformal RS metric that can be found at [31]. We proposed an action that is very similar to the one with the Ricci scalar.…”

Section: Coupling With the Ricci Tensormentioning

confidence: 99%

“…Here we have used the Ricci tensor computed from [31] with D = 5. After some mathematical procedures, we get the two Schrodinger type equations, with m = 0.…”

Section: Coupling With the Ricci Tensormentioning

confidence: 99%

Localization of a Model with U(1) Kinetic Gauge Mixing

Oliveira

Tahim²,

Alencar

et al. 2019

Mod. Phys. Lett. A

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In this paper we study the localization of a model with kinetic gauge mixing on a thin membrane. The model we discuss is a theory for millicharged particles, proposed by Holdom in 1985, and that now is object of study in the LHC. We propose a geometrical coupling between the gauge fields, the Ricci scalar and the Ricci tensor. We show that it is possible to localize such a model by regarding specific values for the coupling constants. We find the solutions for the two gauge fields and discuss the localization for scalar fields that appears naturally in the process. We show that not necessarilly the gauge and scalar fields are localized at the same time. 1

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p-Forms non-minimally coupled to gravity in Randall–Sundrum scenarios

Cited by 13 publications

References 48 publications

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

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

Spinors fields in co-dimension one braneworlds

Localization of a Model with U(1) Kinetic Gauge Mixing

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