Second Order Gauge Theory

2005/02/28 by R. R. Cuzinatto, C. A. M. de Melo, P. J. Pompeia · 1 citation
Physics and Astronomy · Mathematics · #hep-th #gr-qc #math-ph #math.MP

paper · pdf · doi:10.1016/j.aop.2006.07.006

published as Annals Phys.322:1211-1232,2007 · 27 pages. No figure. Final version

arxiv created 2007/07/17 · arxiv updated 2011/07/19

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 L_P∝ 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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