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Current Algebras and Symmetries in Bootstrap Theory

Dashen, R. F. and Frautschi, S. C. (1966) Current Algebras and Symmetries in Bootstrap Theory. Physical Review, 145 (4). pp. 1287-1301. ISSN 0031-899X. doi:10.1103/PhysRev.145.1287.

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In the first paper of this series we showed how, in the bootstrap theory, the currents associated with the hadrons could be determined from a set of self-consistency conditions. In the present paper we show that these "self-consistent" currents satisfy a current algebra. The proof is accomplished without recourse to any approximate model It includes the interesting case of nonconserved currents. The convergence of sum rules derived from current algebras is investigated in detail, and shown to be most rapid when no "nonbootstrap" terms are present. Using these convergence properties, we discuss how and when current algebras can give rise to hadron symmetries.

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Additional Information:© 1966 The American Physical Society. Received 8 November 1965; published in the issue dated May 1966. Work supported in part by the U. S. Atomic Energy Commission. Prepared under Contract AT(11-1)-68 for the San Francisco Operations Office, U. S. Atomic Energy Commission. Alfred P. Sloan Foundation Fellow.
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Atomic Energy CommissionAT(11-1)-68
Alfred P. Sloan FoundationUNSPECIFIED
Issue or Number:4
Record Number:CaltechAUTHORS:20120820-125920064
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Official Citation:Dashen, R. F. and S. C. Frautschi (1966). "Current Algebras and Symmetries in Bootstrap Theory." Physical Review 145(4): 1287-1301.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:33361
Deposited On:20 Aug 2012 23:15
Last Modified:09 Nov 2021 21:34

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