Concept of nonintegrable phase factors and global formulation of gauge fields
Abstract
Through an examination of the Bohm-Aharonov experiment an intrinsic and complete description of electromagnetism in a space-time region is formulated in terms of a nonintegrable phase factor. This concept, in its global ramifications, is studied through an examination of Dirac's magnetic monopole field. Generalizations to non-Abelian groups are carried out, and result in identification with the mathematical concept of connections on principal fiber bundles.
- Publication:
-
Physical Review D
- Pub Date:
- December 1975
- DOI:
- 10.1103/PhysRevD.12.3845
- Bibcode:
- 1975PhRvD..12.3845W