Fermion localization in a generalized Randall-Sundrum model

Koley, Ratna; Mitra, Joydip; SenGupta, Soumitra

doi:10.1103/physrevd.79.041902

Cited by 38 publications

(37 citation statements)

References 33 publications

(32 reference statements)

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“…Some of these are formulated by placing the standard model fields inside the bulk. For these models the localization property of a bulk fermion field on the brane [48][49][50][51][52][53][54][55] has been a subject of great interest to explore the chiral nature of massless fermions and also the hierarchical masses of fermions among different generations [54]. In this context, it is observed that the overlap of the bulk fermion wave function on our visible brane plays a crucial role in determining the effective radion-fermion coupling, which in turn determines the phenomenology of the radion with brane matter fields.…”

Section: Introductionmentioning

confidence: 99%

Fermion localization in higher curvature and scalar–tensor theories of gravity

Mitra¹,

Paul

SenGupta

2017

Eur. Phys. J. C

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It is well known that, in a braneworld model, the localization of fermions on a lower dimensional submanifold (say a TeV 3-brane) is governed by the gravity in the bulk, which also determines the corresponding phenomenology on the brane. Here we consider a five dimensional warped spacetime where the bulk geometry is governed by higher curvature like F(R) gravity. In such a scenario, we explore the role of higher curvature terms on the localization of bulk fermions which in turn determines the effective radion-fermion coupling on the brane. Our result reveals that, for appropriate choices of the higher curvature parameter, the profiles of the massless chiral modes of the fermions may get localized near the TeV brane, while those for massive Kaluza-Klein (KK) fermions localize towards the Planck brane. We also explore these features in the dual scalar-tensor model by appropriate transformations. The localization property turns out to be identical in the two models. This rules out the possibility of any signature of massive KK fermions in TeV scale collider experiments due to higher curvature gravity effects.

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Section: Introductionmentioning

confidence: 99%

Fermion localization in higher curvature and scalar–tensor theories of gravity

Mitra¹,

Paul

SenGupta

2017

Eur. Phys. J. C

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“…But the visible brane in RS model have a negative tension which is intrinsically unstable. Furthermore the visible 3-brane (four-dimensional spacetime) has zero cosmological constant, which is not consistent with presently observed small value [11,12]. Such a braneworld model has been widely studied.…”

Section: Introductionmentioning

confidence: 84%

Anisotropic evolution of 4-brane in a 6D generalized Randall-Sundrum model *

Kang¹,

Zhang²,

Du³

et al. 2019

Chinese Phys. C

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We investigate a 6d generalized Randall-Sundrum brane world scenario with a bulk cosmological constant. It is shown that each stress-energy tensor T i ab on the brane is similar to a constant vacuum energy. This is consistent with the Randall-Sundrum model in which each 3-brane Lagrangian separated out a constant vacuum energy. By adopting an anisotropic metric ansatz, we obtain the 5d Friedmann-Robertson-Walker field equations. At a little later period, the expansion of the universe is proportional to t 1 2 which is as similar as the period of the radiation-dominated. We also investigate the case with two a(t) and two b(t). In a large region of t, we obtain the 3d effective cosmological constant Λ ef f = −2Ω/3 > 0 which is independent of the integral constant. Here the scale factor is exponential expansion which is consistent with our present observation of the universe. Our results demonstrate that it is possible to construct a model which solves the dark energy problem, meanwhile guaranteeing a positive brane tension.

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“…In the present paper we discuss the time-evolving Schrödinger version of the WDW equation for the five dimensional k = 0-FRW Universe, whose warp factor and scale function are respectively given by (12a) and (13). Even though there is an active debate on how one is able to include in the theory a time derivative term in the frozen WDW equation, strategies for connecting it to the timedepending Schrödinger equation have been proposed [12].…”

Section: Discussionmentioning

confidence: 99%

“…for a(t) given by (13). This suggests the definition of the "true" Lagrangian (not density or something else)…”

Section: The Quantum Analysismentioning

confidence: 98%

See 1 more Smart Citation

The Quantum Treatment of the 5D-Warped Friedmann–Robertson–Walker Universe in Schrödinger Picture

Dariescu

Creţu

2012

Int J Theor Phys

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The present paper is devoted to the time-evolving Schrödinger version of the Wheeler-De Witt equation, written for the five dimensional warped k = 0-FRW Universe.For small values of the cosmological scale factor, a, the wave function of the Universe is expressed in terms of the Heun Double Confluent functions, which have been intensively worked out in the last years. As expected, for large a's, one gets the well-known Hermite associated functions. Within the semiclassical approximation, valid for large n, the asymptotic representation of the Whittaker functions leads to the "free particle" behavior.

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Fermion localization in a generalized Randall-Sundrum model

Cited by 38 publications

References 33 publications

Fermion localization in higher curvature and scalar–tensor theories of gravity

Fermion localization in higher curvature and scalar–tensor theories of gravity

Anisotropic evolution of 4-brane in a 6D generalized Randall-Sundrum model *

The Quantum Treatment of the 5D-Warped Friedmann–Robertson–Walker Universe in Schrödinger Picture

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