Spectrum Structure of Fermion on Bloch Branes with Two Scalar-fermion Couplings

Abstract

It is known that the Bloch brane is generated by an odd scalar field $\varphi$ and an even one $\chi$. In order to localize a bulk fermion on the Bloch brane, the coupling between the fermion and scalars should be introduced. { There are two localization mechanisms in the literature, the Yukawa coupling $-\eta \bar{\Psi }{F}_1(\varphi ,\chi )\Psi$ and non-Yukawa coupling $\lambda \bar{\Psi }{\Gamma }^M{\partial }_M{F}_2(\varphi ,\chi ){\gamma }^5\Psi$. The Yukawa coupling has been considered.} In this paper, we consider { both couplings between the fermion and the scalars with $F_1={\chi }^m{\varphi }^{2p+1}$ and $F_2={\chi }^n{\varphi }^{2q}$}, and investigate the localization and spectrum structure of the fermion on the Bloch brane. { It is found that the} left-handed fermion zero mode can be localized on the Bloch brane under some conditions, and the effective potentials have { rich} structure and may be volcano-like, finite square well-like, and infinite potentials. As a result, the spectrum { consists of} a series of resonant Kaluza-Klein fermions, finite or infinite numbers of bound Kaluza-Klein fermions. { Especially, we find a new feature of the introduction of both couplings: the spectrum for the case of finite square well-like potentials contains discrete quasi-localized and localized massive KK modes simultaneously.

22 pages, 13 figures

References in corpus (27)

• Fermion localization and resonances on two-field thick branes
• Fermion Localization and Resonances on A de Sitter Thick Brane
• First-order formalism for bent brane
• Gravity localization on thick branes: a numerical approach
• Localization and Mass Spectra of Fermions on Symmetric and Asymmetric Thick Branes
• Degenerate and critical Bloch branes
• Mass gap for gravity localized on Weyl thick branes
• Gauge Field Localization on the Brane Through Geometrical Coupling
• Localization of abelian gauge fields on thick branes
• Fermion localization on a split brane
• General solutions for some classes of interacting two field kinks
• Gravity localization and mass hierarchy in scalar-tensor branes
• Fermion localization on degenerate and critical branes
• New localization mechanism of fermions on braneworlds
• Gravity Trapping on a Finite Thickness Domain Wall: An Analytic Study
• A method for obtaining thick branes models
• Resonance Mass Spectra of Gravity and Fermion on Bloch Branes
• Fermion localization on two-field thick branes
• A Transfer Matrix Method for Resonances in Randall-Sundrum Models III: An analytical comparison
• Brane worlds in gravity with auxiliary fields
• Localization and quasilocalization of spin-$1/2$ fermion field on two-field thick braneworld
• Braneworld solutions from scalar field in bimetric theory
• Localization Problem in the 5D Standing Wave Braneworld
• Kalb-Ramond excitations in a thick-brane scenario with dilaton
• Effective Monopoles within Thick Branes
• Higgs and gravitational scalar fields together induce Weyl gauge
• Localization and mass spectra of various matter fields on scalar-tensor brane

Cited by in corpus (10)

• Mass dimension one fermions: Constructing darkness
• Sound from extra dimension: quasinormal modes of thick brane
• Thick branes with inner structure in mimetic gravity
• Thick branes with inner structure in mimetic $f(R)$ gravity
• Localization of Gravitino Field on $f(R)$ Thick Branes
• Quasinormal modes and echoes of a double braneworld
• Characteristic modes of thick brane model: resonances and quasinormal modes
• Novel modified gravity braneworld configurations with a Lagrange multiplier
• Quasinormal ringing of thick braneworlds with a finite extra dimension
• Graviscalar quasinormal modes and asymptotic tails of a thick brane