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The localization of chiral fermionic zero modes in scalar field backgrounds with domain wall structure is a central mechanism in brane-world scenarios. We investigate this mechanism in a system that provides an effective realization of the…

High Energy Physics - Theory · Physics 2026-04-16 H. P. Pinheiro , C. A. S. Almeida

In this paper we analyze a generalized Jackiw-Rebbi (J-R) model in which a massive fermion is coupled to the kink of the $\lambda\phi^4$ model as a prescribed background field. We solve this massive J-R model exactly and analytically and…

High Energy Physics - Theory · Physics 2014-04-17 Farid Charmchi , Siamak S. Gousheh

We study limits of vanishing Yukawa couplings of 4d chiral matter fields in Quantum Gravity, using as a laboratory type IIA orientifolds with D6-branes. In these theories chiral fermions arise at brane intersections, where an infinite tower…

High Energy Physics - Theory · Physics 2024-09-16 Gonzalo F. Casas , Luis E. Ibáñez , Fernando Marchesano

In this paper we present a complete and exact spectral analysis of the $(1+1)$-dimensional model that Jackiw and Rebbi considered to show that the half-integral fermion numbers are possible due to the presence of an isolated self charge…

High Energy Physics - Theory · Physics 2014-02-12 Farid Charmchi , Siamak S. Gousheh

In a six dimensional brane world model with multiple $S_1/Z_2$ warping, two of the 4-branes at the boundaries have coordinate dependent brane tensions in order to implement the orbifolded boundary conditions consistently. Such brane tension…

High Energy Physics - Theory · Physics 2008-11-26 Ratna Koley , Joydip Mitra , Soumitra SenGupta

We construct an $SU(5)$ Grand Unified Theory on domain walls in the five-dimensional space-time. In this setup, we introduce an adjoint scalar field and a singlet that together form a set of five domain-wall solutions, realizing a dynamical…

High Energy Physics - Theory · Physics 2026-04-27 Masato Arai , Filip Blaschke , Minoru Eto , Masaki Kawaguchi

We investigate an original domain-wall model in 4+1 dimensions numerically in the presence of U(1) dynamical gauge field only in an extra dimension, corresponding to a weak coupling limit of 4-dimensional physical gauge coupling. Using a…

High Energy Physics - Lattice · Physics 2009-10-28 S. Aoki , K. Nagai

Understanding the nature of confinement, as well as its relation with the spontaneous breaking of chiral symmetry, remains one of the long-standing questions in high-energy physics. The difficulty of this task stems from the limitations of…

We find the coexistence of two kinds of non-abelian anyons, Majorana fermion at the geometric ends and Jackiw-Rebbi-type bound state (JRBS)at a domain-wall, in a topological superconducting phase in one-dimensional (1D) systems. Each…

Strongly Correlated Electrons · Physics 2015-06-22 Ye Xiong , Peiqing Tong

At stronger gauge-field couplings, the domain wall fermion (DWF) residual mass, a measure of chiral symmetry breaking, grows rapidly. This measure is largely due to near zero fermion eigenmodes of logarithm of the 4D transfer matrix along…

High Energy Physics - Lattice · Physics 2010-01-21 Dwight Renfrew , Thomas Blum , Norman Christ , Robert Mawhinney , Pavlos Vranas

We describe a 4D U(1) lattice gauge theory with charged scalar $\phi$ and fermion $\chi$ matter fields ($\chi U \phi$ model). At sufficiently strong gauge coupling, the chiral symmetry is broken and the mass of the unconfined composite…

High Energy Physics - Lattice · Physics 2009-10-31 W. Franzki , J. Jersak

We investigate the critical behavior of three-dimensional relativistic fermion models with a U(N_L)_L x U(1)_R chiral symmetry reminiscent of the Higgs-Yukawa sector of the standard model of particle physics. We classify all possible…

High Energy Physics - Theory · Physics 2010-02-04 Holger Gies , Lukas Janssen , Stefan Rechenberger , Michael M. Scherer

We present a new perspective to the classification of topological phases in free fermion insulators by generalizing the Jackiw-Rebbi model to arbitrary dimensions. We show that a generalized Jackiw-Rebbi model where the Dirac mass ($m$)…

Mesoscale and Nanoscale Physics · Physics 2014-06-04 O. Nganba Meetei , Archana Anandakrishnan

Spin 1/2 fields localization on an asymmetric dS${}_4$ scenario, where the brane interpolates between two spacetimes dS${}_5$ and AdS${}_5$, is determined. The bulk spinor is coupled to scalar field of the brane by a nonminimal Yukawa term…

High Energy Physics - Theory · Physics 2019-11-27 Rommel Guerrero , R. Omar Rodriguez

In this letter we consider a specific model of braneworld with nonstandard dynamics diffused in the literature, specifically we focus our attention on the matter energy density, the energy of system, the Ricci scalar and the thin brane…

High Energy Physics - Theory · Physics 2015-02-24 Luis B. Castro , Luis E. Arroyo Meza

We consider $(4,1)$-dimensional branes constructed with two scalar fields $\phi$ and $\chi$ coupled to a Dirac spinor field by means of a general Yukawa coupling. The equation of motion for the coefficients of the chiral decomposition of…

High Energy Physics - Theory · Physics 2009-07-09 C. A. S. Almeida , M. M. Ferreira , A. R. Gomes , R. Casana

We investigate the development of a gapped phase in the field theory of Dirac fermions in graphene with long-range Coulomb interaction. In the large-N approximation, we show that the chiral symmetry is only broken below a critical number of…

Mesoscale and Nanoscale Physics · Physics 2011-03-21 J. Gonzalez

In this work, following recent studies which show that it is possible to localize gravity as well as scalar and gauge vector fields in a tachyonic de Sitter thick braneworld, we investigate the localization of fermion fields in this model.…

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 thin-wall limit are found for various different…

High Energy Physics - Theory · Physics 2008-11-26 Alejandra Melfo , Nelson Pantoja , Jose David Tempo

It is known that by introducing the Yukawa coupling between the fermion and the background scalar field, a bulk spin-half fermion can be localized on general Randall-Sundrum braneworlds generated by a kinklike background scalar. However,…

High Energy Physics - Theory · Physics 2014-08-15 Yu-Xiao Liu , Zeng-Guang Xu , Feng-Wei Chen , Shao-Wen Wei
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