# On discrete symmetries for a whole Abelian model

## Abstract

Considering the whole concept applied to gauge theory a nonlinear abelian model is derived. A next step is to understand on the model properties. At this work, it will be devoted to discrete symmetries. For this, we will work based in two fields reference systems. This whole gauge symmetry allows to be analyzed through different sets which are the constructor basis {l_brace}D{sub {mu}},X{sup i}{sub {mu}}{r_brace} and the physical basis {l_brace}G{sub {mu}I}{r_brace}. Taking as fields reference system the diagonalized spin-1 sector, P, C, T and PCT symmetries are analyzed. They show that under this systemic model there are conservation laws driven for the parts and for the whole. It develops the meaning of whole-parity, field-parity and so on. However it is the whole symmetry that rules. This means that usually forbidden particles as pseudovector photons can be introduced through such whole abelian system. As result, one notices that the fields whole {l_brace}G{sub {mu}I}{r_brace} manifest a quanta diversity. It involves particles with different spins, masses and discrete quantum numbers under a same gauge symmetry. It says that without violating PCT symmetry different possibilities on discrete symmetries can be accommodated.

- Authors:

- CBPF, Rio de Janeiro (Brazil)
- (Brazil)

- Publication Date:

- OSTI Identifier:
- 22075579

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1483; Journal Issue: 1; Conference: 6. international school on field theory and gravitation 2012, Petropolis, RJ (Brazil), 23-27 Apr 2012; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CONSERVATION LAWS; GAUGE INVARIANCE; NONLINEAR PROBLEMS; PARITY; PHOTONS; QUANTUM FIELD THEORY; QUANTUM NUMBERS; REST MASS; SPIN; SYMMETRY

### Citation Formats

```
Chauca, J., Doria, R., and Aprendanet, Petropolis, 25600.
```*On discrete symmetries for a whole Abelian model*. United States: N. p., 2012.
Web. doi:10.1063/1.4756988.

```
Chauca, J., Doria, R., & Aprendanet, Petropolis, 25600.
```*On discrete symmetries for a whole Abelian model*. United States. doi:10.1063/1.4756988.

```
Chauca, J., Doria, R., and Aprendanet, Petropolis, 25600. Mon .
"On discrete symmetries for a whole Abelian model". United States. doi:10.1063/1.4756988.
```

```
@article{osti_22075579,
```

title = {On discrete symmetries for a whole Abelian model},

author = {Chauca, J. and Doria, R. and Aprendanet, Petropolis, 25600},

abstractNote = {Considering the whole concept applied to gauge theory a nonlinear abelian model is derived. A next step is to understand on the model properties. At this work, it will be devoted to discrete symmetries. For this, we will work based in two fields reference systems. This whole gauge symmetry allows to be analyzed through different sets which are the constructor basis {l_brace}D{sub {mu}},X{sup i}{sub {mu}}{r_brace} and the physical basis {l_brace}G{sub {mu}I}{r_brace}. Taking as fields reference system the diagonalized spin-1 sector, P, C, T and PCT symmetries are analyzed. They show that under this systemic model there are conservation laws driven for the parts and for the whole. It develops the meaning of whole-parity, field-parity and so on. However it is the whole symmetry that rules. This means that usually forbidden particles as pseudovector photons can be introduced through such whole abelian system. As result, one notices that the fields whole {l_brace}G{sub {mu}I}{r_brace} manifest a quanta diversity. It involves particles with different spins, masses and discrete quantum numbers under a same gauge symmetry. It says that without violating PCT symmetry different possibilities on discrete symmetries can be accommodated.},

doi = {10.1063/1.4756988},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1483,

place = {United States},

year = {Mon Sep 24 00:00:00 EDT 2012},

month = {Mon Sep 24 00:00:00 EDT 2012}

}