Most-attractive-channel study for bulk and brane fermions in warped space

TL;DR

This paper investigates gauge couplings and mass constraints of bulk and brane fermions in warped space, revealing conditions under which electroweak symmetry breaking occurs via scalar bound states.

Contribution

It systematically analyzes gauge couplings and mass parameters of fermions in warped space, identifying conditions for symmetry breaking through scalar bound states.

Findings

Bulk fermion mass parameters must satisfy c > 1/2 or c < -1/2.

Electroweak symmetry breaking is triggered by weak-doublet scalar bound states.

Constraints prevent gluon condensation and color-triplet scalar formation.

Abstract

The idea of the self-breaking of the standard model gauge symmetry is applied to a gauge theory in a warped space. We systematically examine the gauge couplings of bulk and brane fermions. The constraint on the masses of bulk fermions is found under the conditions that the ordinary four-dimensional massless gluon is not condensed and that color-triplet scalar bound states are not formed. For bulk fermions with zero modes for the left- and right-handed components, the mass parameters are required to be at least $c\simg 1/2$ and $c\siml -1/2$, respectively. Then possible vacuum expectation values arise only from weak-doublet scalar bound states which trigger electroweak symmetry breaking.