Second order gauge theory |
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| Authors: | R.R. Cuzinatto P.J. Pompeia |
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| Affiliation: | a Instituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona 145, CEP 01405-900, São Paulo, SP, Brazil
b Comando-Geral de Tecnologia Aeroespacial, Instituto de Fomento e Coordenação Industrial, Praça Mal, Eduardo Gomes 50, CEP 12228-901, São José dos Campos, SP, Brazil |
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| 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 = ∂F + fAF arises besides the one of the first order treatment, F = ∂A − ∂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 LP ∝ G2. In this application the photon mass is estimated. The SU (N) infrared regime is analysed by means of Alekseev-Arbuzov-Baikov’s Lagrangian. |
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| Keywords: | 11.15.&minus q |
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