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Second Order Gauge Theory

R. R. Cuzinatto·C. A. M. de Melo·P. J. Pompeia
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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 $G=\partial F+fAF$ arises besides the one of the first order treatment, $F=\partial A-\partial A+fAA$. 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 $L_{P}\propto G^{2}$. 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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R. R. Cuzinatto, C. A. M. de Melo, P. J. Pompeia. 2007-07-17. Second Order Gauge Theory. https://doi.org/10.1016/j.aop.2006.07.006

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