$SO(4)$ invariant Higgs-Yukawa model with reduced staggered fermions

Abstract

We explore the phase structure of a four dimensional $SO(4)$ invariant lattice Higgs-Yukawa model comprising four reduced staggered fermions interacting with a real scalar field. The fermions belong to the fundamental representation of the symmetry group while the three scalar field components transform in the self-dual representation of $SO(4)$. The model is a generalization of a four fermion system with the same symmetries that has received recent attention because of its unusual phase structure comprising massless and massive symmetric phases separated by a very narrow phase in which a small bilinear condensate breaking $SO(4)$ symmetry is present. The generalization described in this paper simply consists of the addition of a scalar kinetic term. We find a region of the enlarged phase diagram which shows no sign of a fermion condensate or symmetry breaking but in which there is nevertheless evidence of a diverging correlation length. Our results in this region are consistent with the presence of a single continuous phase transition separating the massless and massive symmetric phases observed in the earlier work.

arXiv comment9 pages,18 figures

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• Lattice Gauge Theory for Physics Beyond the Standard Model
• 't Hooft anomalies for staggered fermions
• Chiral Lattice Fermions From Staggered Fields
• Quantum Simulation of the N flavor Gross-Neveu Model
• Definition and Classification of Fermi Surface Anomalies
• Induced topological gravity and anomaly inflow from Kaehler-Dirac fermions in odd dimensions
• Hamiltonian models of lattice fermions solvable by the meron-cluster algorithm
• Lattice Regularization of Reduced Kähler-Dirac Fermions and Connections to Chiral Fermions
• Simulations of $SU(2)$ lattice gauge theory with dynamical reduced staggered fermions
• Exotic Phases of a Higgs-Yukawa Model with Reduced Staggered Fermions