Fermion localization on branes with generalized dynamics

Abstract

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 limit. As the model is classically stable and capable of localize gravity, as a natural extension we address the issue of fermion localization of fermions on a thick brane constructed out from one scalar field with nonstandard kinetic terms coupled with gravity. The contribution of the nonstandard kinetic terms in the problem of fermion localization is analyzed. It is found that the simplest Yukawa coupling ηΨφΨ support the localization of fermions on the thick brane. It is shown that the zero mode for left-handed can be localized on the thick brane depending on the values for the coupling constant η.

Localization and mass spectra of various matter fields on Weyl thin brane

“…It is localized on the positive tension brane when the extra dimension is finite under the condition (55). It is easy to see that the vector zero mode can also be localized on the brane when τ = 0 if the extra dimension is finite.…”

“…For studying the localization of fermions on thick branes, Refs. [11,16,[45][46][47][48][49][50][51][52][52][53][54][55] have introduced the Yukawa coupling. Here, we consider the following five-dimensional Dirac action for a fermion coupled with the background scalar field ω: where ω M is the spin connection defined as…”

“…It has been demonstrated that localization mechanisms, e.g. Yukawa coupling η¯ F(φ) [11][12][13]16,[45][46][47][48][49][50][51][52][52][53][54][55], derivative scalar-fermion coupling η¯ M ∂ M F(φ)γ 5 [56], and derivative geometryfermion coupling η¯ M ∂ M F(R)γ 5 [57] can ensure that the fermion zero mode can be localized on the brane.…”

Analytical solutions for fermions on a thick brane with a piecewise and smooth warp factor

“…Indeed, the membrane is regarded as a domain wall embedded in D = 5. Studies of fermion localization in this context reveals a very natural mechanism of producing chiral fields in D = 4 [4][5][6][15][16][17][18][19][20][21][22][23][24]. The new ingredient here is that, if the warp factor is defined in a piecewise way, so must be the scalar field φ.…”

An investigation of the Casimir energy for a fermion coupled to the sine-Gordon soliton with parity decomposition

“…More generally, the interaction of fermions with solitonic backgrounds could produce or affect a variety of interesting physical phenomena such as charge and fermion number fractionalization [79][80][81][82][83], hadron physics [68,69,[84][85][86], superfluidity [87,88], superconductivity [89], BoseEinstein condensation [90,91], conducting polymers [83,[92][93][94] and localization of fermions [95][96][97][98]. The spectrum of the fermion can in general be distorted due to the presence of such a background; bound states can appear and continuum states can change as compared with the free fermion.…”