Broken Chiral and Conformal Symmetry and the Kuo Transformation

Abstract
The breaking of conformal and chiral symmetry within the framework of effective Lagrangians is studied, and it is shown that the (8,8) type of symmetry breaking leads to unacceptable values of the pion-pion scattering lengths. A combination of (3,3¯)+(3¯,3) and (8,8) is then proposed, the particular form being uniquely fixed by the requirement of Kuo transformation. This is then shown to lead to improved scattering lengths for meason-meson scattering processes.