Approximate Dynamical Symmetry * in Lattice Quantum Chromodynamics

We discuss the phenomenological implications of an approximate SU(6) x SU(6) x U(1) symmetry of hadron physics which remains after dynamical symmetry breaking in the strong-coupling lattice gauge theory. This symmetry is similar to but differs in an essential fashion from . previous versions of SU(6) x SU(6) or SU(6)W. The difference resolves some of the problems of the older schemes-for example although we obtain the "good" result up/uN = -3/2, we avoid the "bad" result gA/gV = -5/3. We find that mesons are better approximated as irreducible representations of an SU(6)w than static SU(6). Vector mesons are pseudoGoldstone bosons in our scheme, which explains why the sum rules for their masses should be written in terms of mass squared, like those of the pseudoscalars. Submitted to Physical Review D * Work supported by the Department of Energy, contract DE-AC03-76SF00515.