The phase structure of a chirally invariant lattice Higgs-Yukawa model - numerical simulations

TL;DR

This paper investigates the phase diagram of a chirally invariant lattice Higgs-Yukawa model through numerical simulations, confirming analytical predictions and revealing complex phase structures including ferrimagnetic and symmetric phases.

Contribution

It provides a detailed numerical analysis of the phase structure, validating and extending previous large Nf analytical calculations for the lattice Higgs-Yukawa model.

Findings

Confirmation of the ferrimagnetic phase at intermediate Yukawa couplings

Evidence for the symmetric phase at strong Yukawa couplings

Finite size effects can obscure the detection of the symmetric phase

Abstract

The phase diagram of a chirally invariant lattice Higgs-Yukawa model is explored by means of numerical simulations. The results revealing a rich phase structure are compared to analytical large Nf calculations which we performed earlier. The analytical and numerical results are in excellent agreement at large values of Nf. In the opposite case the large Nf computation still gives a good qualitative description of the phase diagram. In particular we find numerical evidence for the predicted ferrimagnetic phase at intermediate values of the Yukawa coupling constant and for the symmetric phase at strong Yukawa couplings. Emphasis is put on the finite size effects which can hide the existence of the latter symmetric phase.