Gauge Theories and Magnetic Charge
Dec, 197628 pages
Published in:
- Nucl.Phys.B 125 (1977) 1-28
- Published: 1977
Report number:
- CERN-TH-2255
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Abstract: (Elsevier)
If the magnetic field for an exact gauge group H (assumed compact and connected) exhibits an inverse square law behaviour at large distances then the generalized magnetic charge, appearing as the coefficient, completely determines the topological quantum number of the solution. When this magnetic charge operator is expressed as a linear combination of mutually commuting generators of H , the components are uniquely determined, up to the action of the Weyl group, and have to be weights of a new group H ν which is explicitly constructed out of H . The relation between the “electric” group H and the “magnetic” group H ν is symmetrical in the sense that ( H ν ) ν = H . The results suggest that H monopoles are H ν multiplets and vice versa and that the true symmetry group is H ⊗ H ν . In this duality topological and Noether quantum numbers exchange rôles rather as in Sine-Gordon theory. A physical possibility is that H and H ν be the colour and weak electromagnetic gauge groups.- GAUGE FIELD THEORY
- MAGNETIC FIELD
- CHARGE: MAGNETIC
- CHARGE: QUANTIZATION
- group: Weyl
- POSTULATED PARTICLE: MAGNETIC MONOPOLE
- EXCHANGE: QUANTUM NUMBER
- QUANTUM NUMBER: EXCHANGE
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