The Lagrangian method for chiral symmetry

Abstract

We describe the non linear realizations of chiral symmetry group and study some of its implications in elementary particle phycics. In Chapter 1, the basic concepts of non linear realization techniques are introduced the way of reviewing the special case of the chiral SU(2)::SU(2) group. In Chapter 2, the general formalism for chiral SU(η)xSU(η) is developed. This part is wholly dependent on the work by Coleman, Wess and Zumino. In Chapter 3 the method is generalized for local chiral invariance to describe the non-linear gauge fields. The Chapter 4 illustrates the use of non linear realization techniques in conjunction with the phenomenological lagrangian. This chapter is introductory to the final Chapter, 5, in which we have attempted to use the i) phenomenological lagrangian with non linear realization of chiral SU(3)xSU(3) to calculate some low energy hadronic reactions. As an important addition, a description of broken chiral SU(3)xSU(3)' is given. This follows the general scheme put forward by Gell-Kann, Cakes and Renner.