# Can an odd number of fermions be created due to the chiral anomaly?

## Abstract

We describe a possible creation of an odd number of fractionally charged fermions in the 1+1 dimensional Abelian Higgs model. We point out that for 1+1 dimensions this process does not violate any symmetries of the theory, nor makes it mathematically inconsistent. We construct the proper definition of the fermionic determinant in this model and outline how to generalize it for calculation of preexponent in realistic mathematically consistent 3+1 dimensional models with the creation of an even number of fermions.

- Authors:

- Institut de Theorie des Phenomenes Physiques, Ecole Polytechnique Federale de Lausanne, CH-1015 Lausanne (Switzerland)

- Publication Date:

- OSTI Identifier:
- 20776780

- 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.73.045008; (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; CONSERVATION LAWS; FERMIONS; HIGGS MODEL; ONE-DIMENSIONAL CALCULATIONS

### Citation Formats

```
Bezrukov, F., Burnier, Y., and Shaposhnikov, M.
```*Can an odd number of fermions be created due to the chiral anomaly?*. United States: N. p., 2006.
Web. doi:10.1103/PhysRevD.73.045008.

```
Bezrukov, F., Burnier, Y., & Shaposhnikov, M.
```*Can an odd number of fermions be created due to the chiral anomaly?*. United States. doi:10.1103/PhysRevD.73.045008.

```
Bezrukov, F., Burnier, Y., and Shaposhnikov, M. Wed .
"Can an odd number of fermions be created due to the chiral anomaly?". United States.
doi:10.1103/PhysRevD.73.045008.
```

```
@article{osti_20776780,
```

title = {Can an odd number of fermions be created due to the chiral anomaly?},

author = {Bezrukov, F. and Burnier, Y. and Shaposhnikov, M.},

abstractNote = {We describe a possible creation of an odd number of fractionally charged fermions in the 1+1 dimensional Abelian Higgs model. We point out that for 1+1 dimensions this process does not violate any symmetries of the theory, nor makes it mathematically inconsistent. We construct the proper definition of the fermionic determinant in this model and outline how to generalize it for calculation of preexponent in realistic mathematically consistent 3+1 dimensional models with the creation of an even number of fermions.},

doi = {10.1103/PhysRevD.73.045008},

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}

}

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