Quark models as representations of current algebra

by Young, Kenneth

Abstract (Summary)
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.
Bibliographical Information:

Advisor:Murray Gell Mann

School:California Institute of Technology

School Location:USA - California

Source Type:Master's Thesis



Date of Publication:05/25/1972

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