Which Higgs-Yukawa systems can possess non-trivial fixed points

TL;DR

This paper investigates the conditions under which Higgs-Yukawa systems can have non-trivial fixed points, identifying specific systems with certain phase properties, including the U(1) system with naive fermions.

Contribution

The study identifies specific Higgs-Yukawa systems that can possess non-trivial fixed points based on their phase structure, highlighting three such examples.

Findings

Non-trivial fixed points are likely in systems with a connected paramagnetic domain and no ferrimagnetic phase.

Three specific Higgs-Yukawa systems are identified as candidates for non-trivial fixed points.

The U(1) system with naive fermions is among the systems that can have such fixed points.

Abstract

We argue that non-trivial fixed points bordering on the paramagnetic and ferromagnetic phases are most likely to exist in the Higgs-Yukawa systems that have a connected domain with the paramagnetic phase and no ferrimagnetic phase. We find three examples of such systems; among them is the U(1) system with naive fermions.