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arXiv · 1810.06117

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

Nouman Butt·Simon Catterall·David Schaich
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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.

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Nouman Butt, Simon Catterall, David Schaich. 2018-10-14. $SO(4)$ invariant Higgs-Yukawa model with reduced staggered fermions. https://doi.org/10.1103/physrevd.98.114514

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