Fermions on Thick Branes in the Background of Sine-Gordon Kinks

Understand

A class of thick branes in the background of sine-Gordon kinks with a scalar potential $V(\phi)=p(1+\cos\frac{2\phi}{q})$ 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: $\eta\bar{\Psi}\phi\Psi$ and $\eta\bar{\Psi}\sin\phi \Psi$.