Fermions on Thick Branes in the Background of Sine-Gordon Kinks
| dc.creator | Liu, Yu-Xiao | |
| dc.creator | Zhang, Li-Da | |
| dc.creator | Zhang, Li-Jie | |
| dc.creator | Duan, Yi-Shi | |
| dc.date | 2008-04-29 | |
| dc.date | 2008-08-13 | |
| dc.date.accessioned | 2026-07-07T12:44:34Z | |
| dc.date.available | 2026-07-07T12:44:34Z | |
| dc.description | A class of thick branes in the background of sine-Gordon kinks with a scalar potential $V(ϕ)=p(1+\cos\frac{2ϕ}{q})$ was constructed by R. Koley and S. Kar [Classical Quantum Gravity \textbf{22}, 753 (2005)]. In this paper, in the background of the warped geometry, we investigate the issue of localization of spin half fermions on these branes in the presence of two types of scalar-fermion couplings: $η\barΨϕΨ$ and $η\barΨ\sinϕΨ$. By presenting the mass-independent potentials in the corresponding Schrödinger equations, we obtain the lowest Kaluza--Klein (KK) modes and a continuous gapless spectrum of KK states with $m^2>0$ for both types of couplings. For the Yukawa coupling $η\barΨϕΨ$, the effective potential of the right chiral fermions for positive $q$ and $η$ is always positive, hence only the effective potential of the left chiral fermions could trap the corresponding zero mode. This is a well-known conclusion which had been discussed extensively in the literature. However, for the coupling $η\barΨ\sinϕΨ$, the effective potential of the right chiral fermions for positive $q$ and $η$ is no longer always positive. Although the value of the potential at the location of the brane is still positive, it has a series of wells and barriers on each side, which ensures that the right chiral fermion zero mode could be trapped. Thus we may draw the remarkable conclusion: for positive $η$ and $q$, the potentials of both the left and right chiral fermions could trap the corresponding zero modes under certain restrictions. | |
| dc.description | 22 pages, 21 figures, published version to appear in Phys. Rev. D | |
| dc.identifier | https://arxiv.org/abs/0804.4553 | |
| dc.identifier | http://arxiv.org/abs/0804.4553 | |
| dc.identifier | Phys.Rev.D78:065025,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.78.065025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220812 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Fermions on Thick Branes in the Background of Sine-Gordon Kinks | |
| dc.type | text |