Chiral Symmetry and Vertex Symmetry in the Extended Moeller-Rosenfeld Model

Abstract

Vertex symmetry for interacting fermions will be shown to lead to a Lagrangian exhibiting $SU(2N{)}_W$ invariance associated with the subgroup $SU(2N{)}_q\times SU(2N{)}_{\bar{q}}$ generated by $C$-odd and $C$-even spin operators. Approximate $SU(6{)}_W$ vertex symmetry as well as chiral invariance will then be shown to follow from a principle of maximum smoothness (Möller-Rosenfeld) of the bound state quark wave function.

28 pages, Latex format

References in corpus (1)

• Effective Hadronic Lagrangians Based on QCD: Potential Models and Skyrmions