# $SO\left(4\right)$ 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.

- Authors:

- Publication Date:

- Research Org.:
- Syracuse Univ., NY (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)

- OSTI Identifier:
- 1488898

- Alternate Identifier(s):
- OSTI ID: 1611296

- Grant/Contract Number:
- SC0009998

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 11; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics; Lattice field theory; Nonperturbative effects in field theory

## Citation Formats

```
Butt, Nouman, Catterall, Simon, and Schaich, David. S O ( 4 ) invariant Higgs-Yukawa model with reduced staggered fermions. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.114514.
```

```
Butt, Nouman, Catterall, Simon, & Schaich, David. S O ( 4 ) invariant Higgs-Yukawa model with reduced staggered fermions. United States. https://doi.org/10.1103/PhysRevD.98.114514
```

```
Butt, Nouman, Catterall, Simon, and Schaich, David. Wed .
"S O ( 4 ) invariant Higgs-Yukawa model with reduced staggered fermions". United States. https://doi.org/10.1103/PhysRevD.98.114514.
```

```
@article{osti_1488898,
```

title = {S O ( 4 ) invariant Higgs-Yukawa model with reduced staggered fermions},

author = {Butt, Nouman and Catterall, Simon and Schaich, David},

abstractNote = {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.},

doi = {10.1103/PhysRevD.98.114514},

journal = {Physical Review D},

number = 11,

volume = 98,

place = {United States},

year = {2018},

month = {12}

}

https://doi.org/10.1103/PhysRevD.98.114514

*Citation information provided by*

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