Localized Fermions on Domain Walls and Extended Supersymmetric Quantum Mechanics

Oikonomou, V. K.

doi:10.48550/arxiv.1308.2085

Cited by 1 publication

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“…In thick brane scenario, all fields including matter fields are in the bulk in principle, and our four-dimensional matter fields in the standard model are in fact the zero modes of these fundamental fields. Therefore, localization and mass spectra of various bulk matter fields especially fermions on a brane are important and interesting problems [14,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36]. In order to localize fermion zero mode on a brane, one needs to introduce Yukawa coupling η ΨF (φ, χ, • • •)Ψ [17,18,23,31,32] between the bulk fermion field Ψ and the background scalar fields (φ, χ, • • •), where F (φ, χ, • • •) is an odd function of the extra dimension coordinate because of the Z 2 symmetry of the geometry.…”

Section: Introductionmentioning

confidence: 99%

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

Xie,

Guo,

Zhao

et al. 2015

Preprint

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It is known that the Bloch brane is generated by an odd scalar field φ and an even one χ. 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 −η ΨF 1 (φ, χ)Ψ and non-Yukawa coupling λ ΨΓ M ∂ M F 2 (φ, χ)γ 5 Ψ. The Yukawa coupling has been considered. In this paper, we consider both couplings between the fermion and the scalars with F 1 = χ m φ 2p+1 and F 2 = χ n φ 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.

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