Eur. Phys. J. C 28, 147-150 (2003)
DOI: 10.1140/epjc/s2003-01155-y

Abelian decomposition method for G₂ gauge theory

W.-C. Su

Department of Physics, National Chung-Cheng University, Chia-Yi, Taiwan, R.O.C.

(Received: 19 December 2002 / Revised version: 10 January 2003 / Published online: 14 March 2003)

Abstract
The method of Abelian decomposition proposed by Faddeev and Niemi is used to derive the low-energy effective lagrangian of G₂ gauge theory. The G₂ algebra is studied. The commutation relations among the generators of the G₂ algebra are established, based on the framework of its regular maximal subalgebra, an SU(3) algebra.

© Società Italiana di Fisica, Springer-Verlag 2003