Possible Extension of Minimal Current Algebra and Applications
Abstract
An attempt has been made to extend the minimal current algebra of Bjorken and Brandt starting from a gaugefield Lagrangian and including in it nonets of scalar and pseudoscalar fields and making use of canonical communtation relations both for spinzero and spinone fields. To apply it to the problem of weakinteraction divergences, we identify suitably normalized fields with weak currents and scalar and pseudoscalar densities introduced by GellMann. As in the case of Bjorken and Brandt, we go to the limit m_{0}>0, g_{0}>0 such that g_{0}m_{0}^{2}=const≠0, where m_{0} and g_{0} are masses and coupling constants of the YangMills field. In the extended minimal algebra, the nonleptonic weak processes are free of all divergences to lowest order and of a class of leading divergences to all orders in the weakcoupling constant.
 Publication:

Physical Review D
 Pub Date:
 May 1970
 DOI:
 10.1103/PhysRevD.1.2930
 Bibcode:
 1970PhRvD...1.2930M