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Title: 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:
 [1];  [2];  [3]
  1. Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona 145, CEP 01405-900, Sao Paulo, SP (Brazil). E-mail: rodrigo@ift.unesp.br
  2. Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona 145, CEP 01405-900, Sao Paulo, SP (Brazil). E-mail: cassius.anderson@gmail.com
  3. 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}
}