Second order gauge theory

Journal Article · Tue May 15 00:00:00 EDT 2007 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2006.07.006· OSTI ID:20976761

Cuzinatto, R R ^[1]; Pompeia, P J ^[2]

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1. Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona 145, CEP 01405-900, Sao Paulo, SP (Brazil)
2. 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)

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.

• OSTI ID: 20976761
• Journal Information: Annals of Physics (New York), Vol. 322, 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); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

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