Hamilton-Jacobi Formulation of A Non-Abelian Yang-Mills Theories

Abstract

A non-Abelian theory of fermions interacting with gauge bosons is treated as a constrained system using the Hamilton-Jacobi approach. The equations of motion are obtained as total differential equations in many variables. The integability conditions are satisfied, and the set of equations of motion is integrable. A comparison with Dirac’s method is done. c Electronic Journal of Theoretical Physics. All rights reserved.