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Type of Document	Dissertation
Author	Young, Kenneth
URN	etd-12072004-142935
Persistent URL	http://resolver.caltech.edu/CaltechETD:etd-12072004-142935
Title	Quark models as representations of current algebra
Degree	PhD
Option	Physics
Advisory Committee	Advisor Name Title Murray Gell Mann Committee Chair
Keywords	None
Date of Defense	1972-05-25
Availability	unrestricted
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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