51 pp.
Murray Gell-Mann, the Eightfold Way, and Quantum Chromodynamics
51 pp.
| 3634 K 51 pp. | |
| View Document | ||
| Title | Gauge Theories of Vector Particles | |
| Author(s) | Glashow, S. L.; Gell-Mann, M. | |
| Publication Date | April 24, 1961 | |
| Report Number | CTSL-28 | |
| Unique Identifier | ACC0128 | |
| Other Numbers | OSTI ID: 4837147 | |
| Research Org | Synchrotron Lab., California Inst. of Tech., Pasadena, CA | |
| Contract No | AT(11-1)-68 | |
| Sponsoring Org | US Atomic Energy Commission (AEC) | |
| Subject | Physics; 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 | |
| Keywords | Particle Physics | |
| Related Web Pages | Sheldon Glashow and the Electroweak Theory Murray Gell-Mann, the Eightfold Way, and Quantum Chromodynamics | |
| Abstract | 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 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 | ||
