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Gauge Theories of Vector Particles

Glashow, Sheldon L. and Gell-Mann, Murray (1961) Gauge Theories of Vector Particles. Synchrotron Laboratory, CTSL-28. California Institute of Technology , Pasadena, CA. (Unpublished)

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The possibility of generalizing the Yang-Mills trick is examined. Thus we seek theories of vector bosons invariant under continuous groups of coordinate-dependent linear transformations. All such theories may be expressed as superpositions of certain "simple" theories; we show that each "simple" theory is associated with a simple Lie algebra. We may introduce mass terms for the vector bosons at the price of destroying the gauge-invariance for coordinate-dependent gauge functions. The theories corresponding to three particular simple Lie algebras — those which admit precisely two commuting quantum num- bers — are examined in some detail as examples. One of them might play a role in the physics of the strong interactions if there is an underlying super-symmetry, transcending charge independence, that is badly broken. The intermediate vector boson theory of weak interactions is discussed also. The so-called "schizon" model cannot be made to conform to the requirements of partial gauge-invariance. It is possible, however, to find a formal theory of four intermediate bosons that are partially gauge-invariant and gives an approximate |ΔI| = 1/2 rule.

Item Type:Report or Paper (Technical Report)
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Additional Information:© 1961 California Institute of Technology. April 24, 1961 Research supported in part by the U.S. Atomic Energy Commission and the Alfred P. Sloan Foundation. The research was begun while the authors were National Science Foundation Fellows.
Group:Synchrotron Laboratory
Funding AgencyGrant Number
Atomic Energy CommissionUNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
Series Name:Synchrotron Laboratory
Issue or Number:CTSL-28
Record Number:CaltechAUTHORS:20170210-102604161
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:74205
Deposited By: Ruth Sustaita
Deposited On:28 Feb 2017 23:28
Last Modified:03 Oct 2019 16:35

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