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Localization of fermions is studied in different gravitational domain wall models. These are generalizations of the brane-world models considered by Randall and Sundrum, but which also allow gravitational localization. Therefore, they might…

High Energy Physics - Theory · Physics 2014-05-28 Oscar Castillo-Felisola , Ivan Schmidt

We analyze the properties of a two and three dimensional quantum walk that are inspired by the idea of a brane-world model put forward by Rubakov and Shaposhnikov [1]. In that model, particles are dynamically confined on the brane due to…

Quantum Physics · Physics 2017-04-19 I. Marquez-Martin , G. Di Molfetta , A. Perez

Recently there has been an interest in studying the role that geometry may play in the problem of confining fermions to our four-dimensional spacetime. In general, the focus is on non-Riemannian geometries which possess fields like torsion…

General Relativity and Quantum Cosmology · Physics 2012-09-24 J. B. Formiga

The dynamical fermion mass generation in the 4-dimensional brane is discussed in a model with 5-dimensional Kaluza-Klein fermions in interaction with 4-dimensional fermions. It is found that the dynamical fermion masses are generated beyond…

High Energy Physics - Phenomenology · Physics 2010-11-19 Hiroyuki Abe , Hironori Miguchi , Taizo Muta

Some new representations of the supersymmetric transformations are derived, and the supermultiplets are introduced. Based on these representations, various formulations (equations, commutation relations, propagators, Jacobi identities,…

General Physics · Physics 2008-04-03 Yi-Fang Chang

The quantum fluctuation of the relative location of two (n-1)-dimensional de Sitter branes (i.e., of n spacetime dimensions) embedded in the (n+1)-dimensional anti-de Sitter bulk, which we shall call the quantum radion, is investigated at…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Gen Uchida , Misao Sasaki

In a recent paper published in this journal, Zhao and collaborators [Phys. Rev. D \textbf{82}, 084030 (2010)] analyze a toy model of thick branes generated by a real scalar field with the potential $V(\phi)=a\phi^{2}-b\phi^{4}+c\phi^{6}$,…

High Energy Physics - Theory · Physics 2011-04-29 Luis B. Castro , Luis A. Meza

The lowest order quantum corrections to the effective action arising from quantized massive fermion fields in the Randall-Sundrum background spacetime are computed. The boundary conditions and their relation with gauge invariance are…

High Energy Physics - Theory · Physics 2014-11-18 Antonino Flachi , Ian G Moss , David J Toms

In these notes, we review the main results of our approach to fermion masses. The marge mass ratios between fermions, confronted with a unique breaking mechanism leading to vector bosons masses, led us to consider the possibility that they…

High Energy Physics - Phenomenology · Physics 2014-09-30 J-M Frère , M Libanov , S Mollet , S Troitsky

In this paper we study fermion localization and resonances on a special type of braneworld model supporting brane splitting. In such models one can construct multi-wall branes which cause considerable simplification in field equations. We…

High Energy Physics - Theory · Physics 2016-10-05 A. Farokhtabar , A. Tofighi

We study the localization of particles rotating in a two-dimensional harmonic potential by solving their rotational spectrum using many-particle quantum mechanics and comparing the result to that obtained with quantizing the rigid rotation…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. -P. Nikkarila , M. Manninen

A generalized two-brane Randall-Sundrum warped braneworld model admits of solutions of the warp factor for both positive or negative cosmological constant on the visible 3-brane which can resolve the naturalness problem in connection with…

High Energy Physics - Theory · Physics 2010-05-12 Ratna Koley , Joydip Mitra , Soumitra SenGupta

We model four-dimensional junctions made out of intersections of co-dimension one brane living in higher-dimensional spacetimes through domain walls. We take a new look at the problem of localizing fermion states on brane junctions as a…

High Energy Physics - Theory · Physics 2023-03-22 Jose L. Paulino , Francisco A. Brito

In this work we investigate the issue of fermion localization and resonances in $(4,1)$-deformed branes constructed with one scalar field coupled with gravity. Such models provide us branes with internal structures that turns the…

High Energy Physics - Theory · Physics 2015-05-30 W. T. Cruz , A. R. Gomes , C. A. S. Almeida

We consider a hydrogen atom confined in a thick brane embedded in a higher-dimensional space. Due to effects of the extra dimensions, the gravitational potential is amplified in distances smaller than the size of the supplementary space, in…

High Energy Physics - Phenomenology · Physics 2016-12-30 F. Dahia , A. S. Lemos

The motion of a classical test particle moving on a 4-dimensional brane embedded in an $n$-dimensional bulk is studied in which the brane is allowed to fluctuate along the extra dimensions. It is shown that these fluctuations produce three…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Jalalzadeh , B. Vakili , H. R. Sepangi

In this paper a model in a space-time with compact extra dimension is presented, describing five-dimensional fermion fields interacting with an electromagnetic field localized on a brane. This model can be considered as a toy model for…

High Energy Physics - Theory · Physics 2013-05-29 Mikhail N. Smolyakov

An essential step towards the identification of a fermion mass generation mechanism at Planck scale is to analyse massive fermions in a given quantum gravity framework. In this letter the two mass terms entering the Hamiltonian constraint…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Merced Montesinos-Velasquez , Hugo A. Morales-Tecotl , Tonatiuh Matos

We investigate $4+d$ dimensional fermionic models in which the system in codimension-$d$ supports a topologically stable solution, and in which the fermion may be localised to the brane, with power law in 'instanton' backgrounds and…

High Energy Physics - Theory · Physics 2009-11-10 W. Nahm , D. H. Tchrakian

Using the resolution of the gauge hierarchy problem recently proposed by Randall and Sundrum, we find a natural explanation for the observed fermion masses and mixings of the three Standard Model (SM) generations. Localizing massless SM…

High Energy Physics - Phenomenology · Physics 2007-05-23 David Dooling , Kyungsik Kang