Massless fermions in the standing wave braneworld

TL;DR

This paper studies how massless fermions behave in a five-dimensional standing wave braneworld, showing that left-handed fermions can be localized on the brane with an increasing warp factor, while right-handed ones cannot.

Contribution

It demonstrates the localization of left-handed massless fermion zero modes in a standing wave braneworld with increasing warp factor, highlighting the chiral nature of fermion confinement.

Findings

Left-handed zero modes are localized on the brane.

Right-handed fermion wave functions are not normalizable.

Localization depends on the warp factor behavior.

Abstract

We investigate the 5D massless fermionic fields within the standing wave braneworld model. We show that in the case of increasing warp factor there exist localized left spinor field zero modes on the brane, while right fermion wave functions are not normalizable.