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Phys. Rev. D 12, 3845–3857 (1975)

Concept of nonintegrable phase factors and global formulation of gauge fields

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Tai Tsun Wu*
Gordon McKay Laboratory, Harvard University, Cambridge, Massachusetts 02138

Chen Ning Yang†
Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794

Received 8 September 1975; published in the issue dated 15 December 1975

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.

© 1975 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.12.3845
DOI:
10.1103/PhysRevD.12.3845
PACS:

*Work supported in part by the U. S. ERDA under Contract No. AT(11-1)-3227.

†Work supported in part by the National Science Foundation under Grant No. MPS74-13208 A01.

 
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