Second Order Gauge Theory

Details Second Order Gauge Theory Second Order Gauge Theory

2005-02-04

arxiv.org/abs/hep-th/0502052v5

Annals Phys.322:1211-1232,2007

Physics

High Energy Physics

High Energy Physics - Theory

27 pages. No figure. Final version

Scientific paper

10.1016/j.aop.2006.07.006

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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