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Phys. Rev. D 13, 3233–3236 (1976)

Static sourceless gauge field

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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 23 January 1976; published in the issue dated 15 June 1976

A static sourceless gauge field, coupled only to itself, is exhibited for the group SL(2, C). Its field strength is O(r-2) as r→∞. It is also a static sourceless gauge field for SO(3, 1), the orthochronous Lorentz group without inversion. A conjecture is made that such solution does not exist for compact groups.

© 1976 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.13.3233
DOI:
10.1103/PhysRevD.13.3233
PACS:

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

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

 
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