# Second order gauge theory

## Abstract

A gauge theory of second order in the derivatives of the auxiliary field is constructed following Utiyama's program. A novel field strength G = {partial_derivative}F + fAF arises besides the one of the first order treatment, F = {partial_derivative}A - {partial_derivative}A + fAA. The associated conserved current is obtained. It has a new feature: topological terms are determined from local invariance requirements. Podolsky Generalized Eletrodynamics is derived as a particular case in which the Lagrangian of the gauge field is L {sub P} {proportional_to} G {sup 2}. In this application the photon mass is estimated. The SU (N) infrared regime is analysed by means of Alekseev-Arbuzov-Baikov's Lagrangian.

- Authors:

- Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona 145, CEP 01405-900, Sao Paulo, SP (Brazil). E-mail: rodrigo@ift.unesp.br
- Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona 145, CEP 01405-900, Sao Paulo, SP (Brazil). E-mail: cassius.anderson@gmail.com
- Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona 145, CEP 01405-900, Sao Paulo, SP (Brazil) and Comando-Geral de Tecnologia Aeroespacial, Instituto de Fomento e Coordenacao Industrial, Praca Mal, Eduardo Gomes 50, CEP 12228-901, Sao Jose dos Campos, SP (Brazil). E-mail: pompeia@ift.unesp.br

- Publication Date:

- OSTI Identifier:
- 20976761

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics (New York); Journal Volume: 322; Journal Issue: 5; Other Information: DOI: 10.1016/j.aop.2006.07.006; PII: S0003-4916(06)00156-4; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FIELD THEORIES; GAUGE INVARIANCE; LAGRANGIAN FUNCTION; MASS; PHOTONS; SU GROUPS; TOPOLOGY

### Citation Formats

```
Cuzinatto, R.R., Melo, C.A.M. de, and Pompeia, P.J.
```*Second order gauge theory*. United States: N. p., 2007.
Web. doi:10.1016/j.aop.2006.07.006.

```
Cuzinatto, R.R., Melo, C.A.M. de, & Pompeia, P.J.
```*Second order gauge theory*. United States. doi:10.1016/j.aop.2006.07.006.

```
Cuzinatto, R.R., Melo, C.A.M. de, and Pompeia, P.J. Tue .
"Second order gauge theory". United States.
doi:10.1016/j.aop.2006.07.006.
```

```
@article{osti_20976761,
```

title = {Second order gauge theory},

author = {Cuzinatto, R.R. and Melo, C.A.M. de and Pompeia, P.J.},

abstractNote = {A gauge theory of second order in the derivatives of the auxiliary field is constructed following Utiyama's program. A novel field strength G = {partial_derivative}F + fAF arises besides the one of the first order treatment, F = {partial_derivative}A - {partial_derivative}A + fAA. The associated conserved current is obtained. It has a new feature: topological terms are determined from local invariance requirements. Podolsky Generalized Eletrodynamics is derived as a particular case in which the Lagrangian of the gauge field is L {sub P} {proportional_to} G {sup 2}. In this application the photon mass is estimated. The SU (N) infrared regime is analysed by means of Alekseev-Arbuzov-Baikov's Lagrangian.},

doi = {10.1016/j.aop.2006.07.006},

journal = {Annals of Physics (New York)},

number = 5,

volume = 322,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}

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