# Gauge invariance for a whole Abelian model

## Abstract

Light invariance is a fundamental principle for physics be done. It generates Maxwell equations, relativity, Lorentz group. However there is still space for a fourth picture be developed which is to include fields with same Lorentz nature. It brings a new room for field theory. It says that light invariance does not work just to connect space and time but it also associates different fields with same nature. Thus for the ((1/2),(1/2)) representation there is a fields family {l_brace}A{sub {mu}I}{r_brace} to be studied. This means that given such fields association one should derive its corresponding gauge theory. This is the effort at this work. Show that there is a whole gauge theory to cover these fields relationships. Considering the abelian case, prove its gauge invariance. It yields the kinetic, massive, trilinear and quadrilinear gauge invariant terms.

- Authors:

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

- Publication Date:

- OSTI Identifier:
- 22075577

- 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; GAUGE INVARIANCE; LORENTZ GROUPS; LORENTZ INVARIANCE; MAXWELL EQUATIONS; QUANTUM FIELD THEORY; SPACE-TIME; VISIBLE RADIATION

### Citation Formats

```
Chauca, J., Doria, R., Soares, W., and Aprendanet, Petropolis, 25600.
```*Gauge invariance for a whole Abelian model*. United States: N. p., 2012.
Web. doi:10.1063/1.4756986.

```
Chauca, J., Doria, R., Soares, W., & Aprendanet, Petropolis, 25600.
```*Gauge invariance for a whole Abelian model*. United States. doi:10.1063/1.4756986.

```
Chauca, J., Doria, R., Soares, W., and Aprendanet, Petropolis, 25600. Mon .
"Gauge invariance for a whole Abelian model". United States. doi:10.1063/1.4756986.
```

```
@article{osti_22075577,
```

title = {Gauge invariance for a whole Abelian model},

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

abstractNote = {Light invariance is a fundamental principle for physics be done. It generates Maxwell equations, relativity, Lorentz group. However there is still space for a fourth picture be developed which is to include fields with same Lorentz nature. It brings a new room for field theory. It says that light invariance does not work just to connect space and time but it also associates different fields with same nature. Thus for the ((1/2),(1/2)) representation there is a fields family {l_brace}A{sub {mu}I}{r_brace} to be studied. This means that given such fields association one should derive its corresponding gauge theory. This is the effort at this work. Show that there is a whole gauge theory to cover these fields relationships. Considering the abelian case, prove its gauge invariance. It yields the kinetic, massive, trilinear and quadrilinear gauge invariant terms.},

doi = {10.1063/1.4756986},

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}

}