Self-gravitating domain walls and the thin-wall limit

Guerrero, Rommel; Melfo, Alejandra; Pantoja, Nelson

doi:10.1103/physrevd.65.125010

Cited by 51 publications

(88 citation statements)

References 21 publications

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“…It can be shown that in this limit the energy-momentum tensor and all the curvatures converge rigourously to the corresponding tensor distributions associated to the RS thin brane geometry [12,21]), with singular parts which are proportional to a δ-distribution supported on the wall's plane. Now, it should be noticed that the scalar field (10) vanishes everywhere in the thin-wall limit δ → 0.…”

Section: B Domain Wall For a Sine-gordon Potentialmentioning

confidence: 99%

“…Actually, following [12], it can be proved that (1,7) provides a sequence of metrics that satisfies the required convergence conditions of [4]. Then the distributional limit δ → 0 of all the curvature tensor fields of (1,7) exists and gives the curvatures of the limit metric.…”

Section: A the Kinkmentioning

confidence: 99%

“…Localization of gravity on thick domain walls has been considered in various works [5,6,7,8,9,10,11] and the thin wall limit (in the above mentioned distributional convergence sense) in [11,12,13]. Some of these thick branes reduce to the Randall-Sundrum (RS) brane [1] in the thin-wall limit, but not all of them, notably dynamic walls [12,14], walls that interpolate between AdS 5 spacetimes with different cosmological constants [11] and double-walls [10,13].…”

Section: Introductionmentioning

confidence: 99%

“…Some of these thick branes reduce to the Randall-Sundrum (RS) brane [1] in the thin-wall limit, but not all of them, notably dynamic walls [12,14], walls that interpolate between AdS 5 spacetimes with different cosmological constants [11] and double-walls [10,13]. In some cases, as in the asymmetric branes found in [15], localization of gravity is not possible [11], although the scalar field behaves as a domain wall and the stress-energy tensor is distributionally well defined even for thickness zero.…”

Section: Introductionmentioning

confidence: 99%

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Fermion localization on thick branes

Melfo¹,

Pantoja²,

Tempo³

2006

Phys. Rev. D

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120

150

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We consider chiral fermion confinement in scalar thick branes, which are known to localize gravity, coupled through a Yukawa term. The conditions for the confinement and their behavior in the thinwall limit are found for various different BPS branes, including double walls and branes interpolating between different AdS5 spacetimes. We show that only one massless chiral mode is localized in all these walls, whenever the wall thickness is keep finite. We also show that, independently of wall's thickness, chiral fermionic modes cannot be localized in dS4 walls embedded in a M5 spacetime. Finally, massive fermions in double wall spacetimes are also investigated. We find that, besides the massless chiral mode localization, these double walls support quasi-localized massive modes of both chiralities.

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Section: B Domain Wall For a Sine-gordon Potentialmentioning

confidence: 99%

Section: A the Kinkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Fermion localization on thick branes

Melfo¹,

Pantoja²,

Tempo³

2006

Phys. Rev. D

Self Cite

120

150

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“…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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Trapping Spin-0 particles on p-balls in (D, 1) dimensions

Casana

Gomes

Simas

2015

J. High Energ. Phys.

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p-Balls are topological defects in (D, 1) dimensions constructed with M ≥ 1 scalar fields which depend radially on only 2 ≤ p ≤ D − 2 spatial dimensions. Such defects are characterized by an action that breaks translational invariance and are inspired on the physics of a brane with D − p extra dimensions. Here we consider the issue of localization of bosonic states described by a scalar field Φ sufficiently weak to not disturb sensibly the defect configuration. After describing the general formalism, we consider some specify examples with M = 1, 2 and 3, looking for some region of parameters where bound and resonant bosonic states can be found. We investigate the way the influence of the defect structure, number of radial dimensions and coupling between the fields are related to the occurrence of bound and resonant states.

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Self-gravitating domain walls and the thin-wall limit

Cited by 51 publications

References 21 publications

Fermion localization on thick branes

Fermion localization on thick branes

Trapping Dirac fermions in tubes generated by two scalar fields

Trapping Spin-0 particles on p-balls in (D, 1) dimensions

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