Quark Models as Representations of Current Algebra

Citation

Young, Kenneth (1972) Quark Models as Representations of Current Algebra. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/QZ1G-AX70. https://resolver.caltech.edu/CaltechETD:etd-12072004-142935

Abstract

The equal time U(12) algebra of scalar, pseudoscalar, vector, axial and tensor currents abstracted from Lagrangian quark field theory is studied. The attempt is made to represent the "good" part of this algebra at infinite momentum on nonexotic states, i.e., on hadron states of conventional nonrelativistic quark models. Relativistic constraints embodied in the angular condition must also be met. Previous work has shown that the unintegrated algebra cannot be represented on nonexotic states. In this study, the much less restrictive problem of the once and twice integrated algebra is considered. It is found that even the twice integrated algebra cannot be satisfied within nonexotics. This strongly suggests that exotics are an essential part of the hadron spectrum.

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