THE FERMION MONOPOLE SYSTEM REEXAMINED
198214 pages
Published in:
- Phys.Rev.D 27 (1983) 2383-2396
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Abstract: (APS)
The problem of a Dirac particle in a fixed Abelian monopole field is reexamined. We find that the boundary conditions adopted by Kazama, Yang, and Goldhaber can be generalized. When the generalization is made, we are led to the existence of θ vacua. For massless fermions, chiral symmetry is spontaneously broken. A change in θ is equivalent to a chiral rotation, and the physics is independent of θ. For massive fermions, CP invariance is broken except for θ=0, π. The vacuum charge for a unit pole obeys the Witten formula Q=−eθ2π and the monopole becomes a dyon. The results for the two cases are related by an analog of Levinson's theorem. We also note the connection of our results with fractional quantum numbers on solitons, and with the η invariant of Atiyah, Patodi, and Singer.- POSTULATED PARTICLE: MAGNETIC MONOPOLE
- FIELD EQUATIONS: MONOPOLE
- SCATTERING: FERMION MAGNETIC MONOPOLE
- FERMION MAGNETIC MONOPOLE: SCATTERING
- FERMION: MASSLESS
- MASSLESS: FERMION
- GAUGE FIELD THEORY: VACUUM STATE
- CHARGE: TOPOLOGICAL
- FIELD EQUATIONS: DYON
- CP: violation
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