3634 K
51 pp.
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TitleGauge Theories of Vector Particles
Author(s)Glashow, S. L.; Gell-Mann, M.
Publication DateApril 24, 1961
Report NumberCTSL-28
Unique IdentifierACC0128
Other NumbersOSTI ID: 4837147
Research OrgSynchrotron Lab., California Inst. of Tech., Pasadena, CA
Contract NoAT(11-1)-68
Sponsoring OrgUS Atomic Energy Commission (AEC)
SubjectPhysics; Bosons; Differential Equations; Elementary Particles; Field Theory; Gauge Invariance; Group Theory; Interactions; Invariance Principle; Lie Groups; Matrices; Particle Models; Quantum Mechanics; Relativity Theory; Selection Rules; Transients; Vectors; Weak Interactions; Yang-mills Field
KeywordsParticle Physics
Related Web PagesSheldon Glashow and the Electroweak Theory
Murray Gell-Mann, the Eightfold Way, and Quantum Chromodynamics
AbstractThe 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 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.
3634 K
51 pp.
View Document 

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