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Quark Models as Representations of Current Algebra


Young, Kenneth (1972) Quark Models as Representations of Current Algebra. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/QZ1G-AX70.


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.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Physics and Mathematics)
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Minor Option:Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Mann, Murray Gell
Thesis Committee:
  • Unknown, Unknown
Defense Date:25 May 1972
Record Number:CaltechETD:etd-12072004-142935
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4824
Deposited By: Imported from ETD-db
Deposited On:10 Dec 2004
Last Modified:02 Jul 2024 23:40

Thesis Files

PDF (Young_k_1972.pdf) - Final Version
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