# Fermion localization on a split brane

## Abstract

In this work we analyze the localization of fermions on a brane embedded in five-dimensional, warped and nonwarped, space-time. In both cases we use the same nonlinear theoretical model with a nonpolynomial potential featuring a self-interacting scalar field whose minimum energy solution is a soliton (a kink) which can be continuously deformed into a two-kink. Thus a single brane splits into two branes. The behavior of spin 1/2 fermions wave functions on the split brane depends on the coupling of fermions to the scalar field and on the geometry of the space-time.

- Authors:

- UNESP Univ Estadual Paulista - Campus de Guaratingueta - DFQ. Av. Dr. Ariberto Pereira Cunha, 333 12516-410 Guaratingueta SP Brasil (Brazil)

- Publication Date:

- OSTI Identifier:
- 21502633

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. D, Particles Fields

- Additional Journal Information:
- Journal Volume: 83; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.83.105010; (c) 2011 American Institute of Physics; Journal ID: ISSN 0556-2821

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BRANES; COUPLING; FERMIONS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; SCALAR FIELDS; SIMULATION; SOLITONS; SPACE-TIME; SPIN; WAVE FUNCTIONS; ANGULAR MOMENTUM; FUNCTIONS; PARTICLE PROPERTIES; QUASI PARTICLES

### Citation Formats

```
Chumbes, A. E. R., Vasquez, A. E. O., and Hott, M. B.
```*Fermion localization on a split brane*. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVD.83.105010.

```
Chumbes, A. E. R., Vasquez, A. E. O., & Hott, M. B.
```*Fermion localization on a split brane*. United States. doi:10.1103/PHYSREVD.83.105010.

```
Chumbes, A. E. R., Vasquez, A. E. O., and Hott, M. B. Sun .
"Fermion localization on a split brane". United States. doi:10.1103/PHYSREVD.83.105010.
```

```
@article{osti_21502633,
```

title = {Fermion localization on a split brane},

author = {Chumbes, A. E. R. and Vasquez, A. E. O. and Hott, M. B.},

abstractNote = {In this work we analyze the localization of fermions on a brane embedded in five-dimensional, warped and nonwarped, space-time. In both cases we use the same nonlinear theoretical model with a nonpolynomial potential featuring a self-interacting scalar field whose minimum energy solution is a soliton (a kink) which can be continuously deformed into a two-kink. Thus a single brane splits into two branes. The behavior of spin 1/2 fermions wave functions on the split brane depends on the coupling of fermions to the scalar field and on the geometry of the space-time.},

doi = {10.1103/PHYSREVD.83.105010},

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

issn = {0556-2821},

number = 10,

volume = 83,

place = {United States},

year = {2011},

month = {5}

}

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