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Gauge Theories of Vector Particles

Glashow, Sheldon L. and Gell-Mann, Murray (1961) Gauge Theories of Vector Particles. Annals of Physics, 15 (3). pp. 437-460. ISSN 0003-4916. doi:10.1016/0003-4916(61)90193-2.

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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 super-positions 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 numbers—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 is partially gauge-invariant and gives an approximate │ΔI│= 1/2 rule.

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Additional Information:© 1961 Elsevier Inc. Received 12 June 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.
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Atomic Energy CommissionUNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
Issue or Number:3
Record Number:CaltechAUTHORS:20150918-151449611
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Official Citation:Sheldon L Glashow, Murray Gell-Mann, Gauge theories of vector particles, Annals of Physics, Volume 15, Issue 3, September 1961, Pages 437-460, ISSN 0003-4916, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:60349
Deposited By: Ruth Sustaita
Deposited On:19 Sep 2015 00:57
Last Modified:10 Nov 2021 22:33

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