Approximate dynamical symmetry in lattice quantum chromodynamics

Marvin Weinstein*, Sidney D. Drell, Helen R. Quinn, Benjamin Svetitsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We discuss the phenomenological implications of an approximate SU(6)×SU(6)×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) × 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 pn=-32, we avoid the "bad" result gAgV=-53. We find that mesons are better approximated as irreducible representations of an SU(6)W than static SU(6). Vector mesons are pseudo-Goldstone 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.

Original languageEnglish
Pages (from-to)1190-1197
Number of pages8
JournalPhysical review D
Issue number5
StatePublished - 1980
Externally publishedYes


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