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Phys. Rev. D 14, 437–445 (1976)

Dirac's monopole without strings: Classical Lagrangian theory

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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 16 March 1976; published in the issue dated 15 July 1976

The non-quantum-mechanical interaction of a Dirac magnetic monopole and a point charge through the electromagnetic field is studied. A classical action integral which is multiple-valued is found. Stability of this action integral against variations of the world lines of the point charge and the monopole, and against variations of the electromagnetic potentials, yields the correct Lorentz equations of motion of the particles and the Maxwell equations for the field. No strings are introduced in the formalism.

© 1976 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.14.437
DOI:
10.1103/PhysRevD.14.437
PACS:

*Work supported in part by the National Science Foundation under Grant MPS74-13208 A01.

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

 
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