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We study the local structure of zero mode wave functions of chiral matter fields in F-theory unification. We solve the differential equations for the zero modes derived from local Higgsing in the 8-dimensional parent action of F-theory…

High Energy Physics - Theory · Physics 2009-12-07 A. Font , L. E. Ibanez

In the article we investigate localization problem for spinor fields within the 5D standing wave braneworld with the bulk real scalar field and show that there exist normalizable fermion field zero modes on the brane.

General Physics · Physics 2014-09-17 Merab Gogberashvili , Pavle Midodashvili

We consider the motion of test particles in a thick brane version of Randall-Sundrum type II model. It is known that gravity alone cannot explain the confinement of test particles in this kind of brane. In this paper we show that a stable…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Dahia , C. Romero

Inspired by the Dirac model model of graphene, we consider a $(2+1)$-dimensional fermionic system in which fermions are described by four-component spinors. These fermions are proposed to interact with an electromagnetic field originating…

High Energy Physics - Theory · Physics 2025-04-04 Sergey N. Solodukhin

Different from the Dirac spinor, the localization of a five-dimensional Elko spinor on a brane with codimension one is very difficult because of the special structure of the Elko spinor. By introducing the coupling between the Elko spinor…

High Energy Physics - Theory · Physics 2022-11-09 Xiang-Nan Zhou , Xin-Yuan Ma , Zhen-Hua Zhao , Yun-Zhi Du

Two-component spinors are the basic ingredients for describing fermions in quantum field theory in four space-time dimensions. We develop and review the techniques of the two-component spinor formalism and provide a complete set of Feynman…

High Energy Physics - Phenomenology · Physics 2022-05-25 Herbi K. Dreiner , Howard E. Haber , Stephen P. Martin

We study the deconstructed scalar theory having nonlinear interactions and being renormalizable. It is shown that the kink-like configurations exist in such models. The possible forms of Yukawa coupling are considered. We find the…

High Energy Physics - Theory · Physics 2015-03-19 Nahomi Kan , Koichiro Kobayashi , Kiyoshi Shiraishi

We solve the fermionic zero modes in gravity and gauge backgrounds on a brane involving a warped geometry, and study the localization of spin 1/2 fermionic field on the brane world. The result is that there exist massless spin 1/2 fermions…

High Energy Physics - Theory · Physics 2008-11-26 Li Zhao , Yu-Xiao Liu , Yi-Shi Duan

We suggest model equations, which, from some point of view, describe local interaction of three physical fields: a field of matter, an electromagnetic field and a gravitational field. A base of the model is a field of matter described by…

Mathematical Physics · Physics 2007-05-23 N. G. Marchuk

In this paper, the solutions of the pure geometric thick $f(R)$ brane are investigated. The formulation of $f(R)$ is chosen as $f(R)=\sum_{i=1}^{n}a_{i}R^{i}+\Lambda$. For the certain value of $n$, the brane solution can be calculated, and…

High Energy Physics - Theory · Physics 2023-05-10 Heng Guo , Lang-Lang Wang , Chun-E Fu , Qun-Ying Xie

In this paper, we study localization and mass spectrum of various matter fields on a family of thick brane configurations in a pure geometric Weyl integrable 5-dimensional space time, a non-Riemannian modification of 5-dimensional…

High Energy Physics - Theory · Physics 2009-11-19 Yu-Xiao Liu , Li-Da Zhang , Shao-Wen Wei , Yi-Shi Duan

In this paper, by presenting the potentials of Kaluza-Klein (KK) modes in the corresponding Schr\"{o}dinger equations, we investigate the localization and resonances of gravity and fermion on the symmetric and asymmetric Bloch {branes}. We…

High Energy Physics - Theory · Physics 2013-11-18 Qun-Ying Xie , Jie Yang , Li Zhao

We discuss how unification of the gauge, Higgs and (three chiral family) matter superfields can be realized from the compactification of a six dimensional supersymmetric SU(8) gauge theory over the orbifold R^4 x T^2/Z_3. The bulk gauge…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ilia Gogoladze , Chin-Aik Lee , Yukihiro Mimura , Qaisar Shafi

In phenomenological models with extra dimensions there is a natural symmetry group associated to a brane universe, -- the group of rotations of normal bundle of the brane. We consider Kaluza-Klein gauge fields corresponding to this group…

High Energy Physics - Theory · Physics 2009-11-07 Andrey Neronov

We consider the one-loop renormalization of a real scalar field interacting with a Dirac spinor field in curved spacetime. A general Yukawa interaction is considered which includes both a scalar and a pseudoscalar coupling. The scalar field…

High Energy Physics - Theory · Physics 2018-07-04 David J. Toms

We generate scalar thick brane configurations in a 5D Riemannian space time which describes gravity coupled to a self-interacting scalar field. We also show that 4D gravity can be localized on a thick brane which does not necessarily…

High Energy Physics - Theory · Physics 2008-11-26 Nandinii Barbosa-Cendejas , Alfredo Herrera-Aguilar

Quenched studies of a global U(1) symmetric Wilson-Yukawa model in two dimensions show no evidence of a charged fermion in the vortex phase at strong Wilson-Yukawa coupling while there is strong indication of a massive neutral fermion.…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Asit K. De , Erich Focht , Jan Smit

Attempts to resolve the longstanding Fermion mass hierarchy (FMH) problem in frames of the AdS/CFT correspondence demand the knowledge of bulk fermion masses. The approach of the "old" conformal bootstrap in AdS context permitted to…

High Energy Physics - Theory · Physics 2020-02-26 Boris L. Altshuler

In this paper we present two different solutions to the problem of zero mode localization of ELKO spinor. In a recent paper the present authors reopened this problem since the solution presented before did not satisfy the boundary condition…

High Energy Physics - Theory · Physics 2015-04-16 I. C. Jardim , G. Alencar , R. R. Landim , R. N. Costa Filho

We study the one-loop radiative corrections for massless fermions in de Sitter space induced by a Yukawa coupling to a light, nearly minimally coupled scalar field. We show that the fermions acquire a mass. Next we construct the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Bjorn Garbrecht , Tomislav Prokopec
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