Numerical Simulations of an SU(2)_L x SU(2)_R-symmetric Higgs-Yukawa Model on the QUADRICS Q16

TL;DR

This paper presents numerical simulations of an SU(2)_L x SU(2)_R symmetric Higgs-Yukawa model using lattice methods to explore triviality bounds on couplings in a fermion-Higgs system.

Contribution

It introduces a lattice simulation approach for the Higgs-Yukawa model with mirror fermions and investigates triviality bounds at different lattice sizes.

Findings

Determined triviality bounds on Yukawa and scalar couplings.

Analyzed the model in the limit of zero gauge coupling.

Provided results on different lattice sizes.

Abstract

We report on our work on the SU(2)_L x SU(2)_R symmetric Higgs Yukawa Model with mirror fermion action. Our model describes a fermion Higgs system in the limit of vanishing gauge coupling. Setting the bare Yukawa coupling of the mirror fermions G_\chi to zero, we want to determine the triviality bounds on the renormalized Yukawa coupling of the fermions G_{R\psi} and the scalar self-coupling g_R on 8^3x16 and 16^3x32 lattices.