Vol. 146, No. 1, 1990

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The coupled Yang-Mills-Dirac equations for differential forms

Thomas H. Otway

Vol. 146 (1990), No. 1, 103–113
Abstract

A version of the coupled Yang-Mills-Dirac equations for differential forms is presented. In this version the equations are defined and conformal in any odd dimension; they share many of the analytic properties of the Yang-Mills-Higgs equations in these dimensions. A point singularity problem is formulated and solved for the Yang-Mills-Dirac equations in dimension 3. In this dimension the solutions can be associated with a definite energy functional resembling the magnetic-monopole energy.

Mathematical Subject Classification 2000
Primary: 58E15
Secondary: 58G30, 81T13
Milestones
Received: 2 December 1988
Revised: 13 March 1989
Published: 1 November 1990
Authors
Thomas H. Otway