# Confining the electroweak model to a brane

## Abstract

We introduce a simple scenario where, by starting with a five-dimensional SU(3) gauge theory, we end up with several 4-D parallel branes with localized fermions and gauge fields. Similar to the split fermion scenario, the confinement of fermions is generated by the nontrivial topological solution of a SU(3) scalar field. The 4-D fermions are found to be chiral, and to have interesting properties coming from their 5-D group representation structure. The gauge fields, on the other hand, are localized by loop corrections taking place at the branes produced by the fermions. We show that these two confining mechanisms can be put together to reproduce the basic structure of the electroweak model for both leptons and quarks. A few important results are: Gauge and Higgs fields are unified at the 5-D level; and new fields are predicted: One left-handed neutrino with zero-hypercharge, and one massive vector field coupling together the new neutrino with other left-handed leptons. The hierarchy problem is also addressed.

- Authors:

- Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA (United Kingdom)

- Publication Date:

- OSTI Identifier:
- 20776795

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.73.045023; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; CHIRALITY; CORRECTIONS; COUPLING; GAUGE INVARIANCE; HIGGS BOSONS; HIGGS MODEL; HYPERCHARGE; MATHEMATICAL SOLUTIONS; MEMBRANES; NEUTRINOS; QUARKS; SCALAR FIELDS; SU-3 GROUPS; TOPOLOGY; VECTOR FIELDS; WEINBERG-SALAM GAUGE MODEL

### Citation Formats

```
Palma, Gonzalo A.
```*Confining the electroweak model to a brane*. United States: N. p., 2006.
Web. doi:10.1103/PhysRevD.73.045023.

```
Palma, Gonzalo A.
```*Confining the electroweak model to a brane*. United States. doi:10.1103/PhysRevD.73.045023.

```
Palma, Gonzalo A. Wed .
"Confining the electroweak model to a brane". United States.
doi:10.1103/PhysRevD.73.045023.
```

```
@article{osti_20776795,
```

title = {Confining the electroweak model to a brane},

author = {Palma, Gonzalo A.},

abstractNote = {We introduce a simple scenario where, by starting with a five-dimensional SU(3) gauge theory, we end up with several 4-D parallel branes with localized fermions and gauge fields. Similar to the split fermion scenario, the confinement of fermions is generated by the nontrivial topological solution of a SU(3) scalar field. The 4-D fermions are found to be chiral, and to have interesting properties coming from their 5-D group representation structure. The gauge fields, on the other hand, are localized by loop corrections taking place at the branes produced by the fermions. We show that these two confining mechanisms can be put together to reproduce the basic structure of the electroweak model for both leptons and quarks. A few important results are: Gauge and Higgs fields are unified at the 5-D level; and new fields are predicted: One left-handed neutrino with zero-hypercharge, and one massive vector field coupling together the new neutrino with other left-handed leptons. The hierarchy problem is also addressed.},

doi = {10.1103/PhysRevD.73.045023},

journal = {Physical Review. D, Particles Fields},

number = 4,

volume = 73,

place = {United States},

year = {Wed Feb 15 00:00:00 EST 2006},

month = {Wed Feb 15 00:00:00 EST 2006}

}