1998/11/12 by A. M. Khvedelidze, Khvedelidze, A. M., H. -P. Pavel +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9811115
15 pages LATEX, no figures; Contribution to the Proceedings of the INTERNATIONAL SEMINAR in PHYSICS and MATHEMATICS held in Tbilisi, Georgia, September 5-18, 1998
arxiv created 1998/12/12 · arxiv updated 2009/11/30
The method of reduction of a non-Abelian gauge theory to the corresponding unconstrained system is exemplified for SU(2) Yang-Mills field theory. The reduced Hamiltonian which describes the dynamics of the gauge invariant variables is presented in the form of a strong coupling expansion. The physical variables are separated into fields, which are scalars under spatial rotations, and rotational degrees of freedom. It is shown how in the infrared limit an effective nonlinear sigma model type Lagrangian can be derived which out of the six physical fields involves only one of three scalar fields and two rotational fields summarized in a unit vector. Its possible relation to the effective Lagrangian proposed recently by Faddeev and Niemi is discussed.