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

Butt, Nouman, Catterall, Simon and Schaich, David ORCID: 0000-0002-9826-2951 (2018) SO(4) invariant Higgs-Yukawa model with reduced staggered fermions PHYSICAL REVIEW D, 98 (11). 114514-. ISSN 2470-0010, 2470-0029

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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.

Item Type:	Article
Uncontrolled Keywords:	5106 Nuclear and Plasma Physics, 5107 Particle and High Energy Physics, 4902 Mathematical Physics, 49 Mathematical Sciences, 51 Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	09 Mar 2020 09:10
Last Modified:	16 Jun 2026 11:18
DOI:	10.1103/PhysRevD.98.114514
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3078179
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