# Fermion mass without symmetry breaking

## Abstract

We examine a model of reduced staggered fermions in three dimensions interacting through an SO (4) invariant four fermion interaction. The model is similar to that considered in a recent paper by Ayyer and Chandrasekharan. We present theoretical arguments and numerical evidence which support the idea that the system develops a mass gap for sufficiently strong four fermi coupling *without* producing a symmetry breaking fermion bilinear condensate. As a result, massless and massive phases appear to be separated by a continuous phase transition.

- Authors:

- Syracuse Univ., Syracuse, NY (United States). Dept. of Physics

- Publication Date:

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

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF)

- OSTI Identifier:
- 1358550

- Grant/Contract Number:
- SC0009998; PHY-1066293; PHY11-25915

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 1; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; spontaneous symmetry breaking; lattice quantum field theory

### Citation Formats

```
Catterall, Simon. Fermion mass without symmetry breaking. United States: N. p., 2016.
Web. doi:10.1007/JHEP01(2016)121.
```

```
Catterall, Simon. Fermion mass without symmetry breaking. United States. doi:10.1007/JHEP01(2016)121.
```

```
Catterall, Simon. Wed .
"Fermion mass without symmetry breaking". United States. doi:10.1007/JHEP01(2016)121. https://www.osti.gov/servlets/purl/1358550.
```

```
@article{osti_1358550,
```

title = {Fermion mass without symmetry breaking},

author = {Catterall, Simon},

abstractNote = {We examine a model of reduced staggered fermions in three dimensions interacting through an SO (4) invariant four fermion interaction. The model is similar to that considered in a recent paper by Ayyer and Chandrasekharan. We present theoretical arguments and numerical evidence which support the idea that the system develops a mass gap for sufficiently strong four fermi coupling without producing a symmetry breaking fermion bilinear condensate. As a result, massless and massive phases appear to be separated by a continuous phase transition.},

doi = {10.1007/JHEP01(2016)121},

journal = {Journal of High Energy Physics (Online)},

number = 1,

volume = 2016,

place = {United States},

year = {2016},

month = {1}

}

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