Chiral Fermions and Quadratic Divergences

TL;DR

This paper explores how certain nonsupersymmetric abelian quiver gauge theories can naturally avoid one-loop quadratic divergences in scalars, focusing on models with chiral fermions and no adjoint scalars.

Contribution

It identifies specific conditions under which these gauge theories are free of one-loop quadratic divergences while maintaining chiral fermions.

Findings

Models without adjoint scalars exhibit no one-loop quadratic divergences.

Chiral fermions are compatible with divergence-free scalar propagators in these theories.

The construction uses cyclic groups Z_p to build the gauge theories.

Abstract

In an approach towards naturalness without supersymmetry, renormalization properties of nonsupersymmetric abelian quiver gauge theories are studied. In the construction based on cyclic groups Z_p the gauge group is U(N)^p, the fermions are all in bifundamentals and the construction allows scalars in adjoints and bifundamentals. Only models without adjoint scalars, however, exhibit both chiral fermions and the absence of one-loop quadratic divergences in the scalar propagator.