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

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.

arXiv comment14 pages, 11 figures

References in corpus (15)

• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• Monte Carlo errors with less errors
• Testing and tuning symplectic integrators for Hybrid Monte Carlo algorithm in lattice QCD
• Domain Wall Fermions and Chiral Gauge Theories
• The phase structure of a chirally invariant lattice Higgs-Yukawa model for small and for large values of the Yukawa coupling constant
• The PHMC algorithm for simulations of dynamical fermions: I -- description and properties
• Chiral Lattice Gauge Theories and The Strong Coupling Dynamics of a Yukawa-Higgs Model with Ginsparg-Wilson Fermions
• Triviality and the Higgs mass lower bound
• Chiral Lattice Gauge Theories from Warped Domain Walls and Ginsparg-Wilson Fermions
• How light can the Higgs be?
• Fermion-Higgs model with Reduced Staggered Fermions
• On the Phase Diagram of a Lattice U(1) Gauge Theory with Gauge Fixing
• The Phase Diagram and Spectrum of Gauge-Fixed Abelian Lattice Gauge Theory
• On the Eichten--Preskill Proposal for Lattice Chiral Gauge Theories
• The Phase Diagram of a U(1) Higgs-Yukawa Model at Finite $\lambda$

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