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Yang-Mills and Dirac Fields with Inhomogeneous Boundary Conditions |
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| Authors: | Günter Schwarz Jedrzej Śniatycki Jacek Tafel |
| Affiliation: | (1) Department of Mathematics and Computer Science, University of Mannheim, 68131 Mannheim, Germany, DE;(2) Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada, CA;(3) Institute of Theoretical Physics, University of Warsaw, Hoża 69, 00-681 Warsaw, Poland, PL |
| Abstract: | Finite time existence and uniqueness of solutions of the evolution equations of minimally coupled Yang-Mills and Dirac systems are proved for inhomogeneous boundary conditions. A characterization of the space of solutions of minimally coupled Yang-Mills and Dirac equations is obtained in terms of the boundary data and the Cauchy data satisfying the constraint equation. The proof is based on a special gauge fixing and a singular perturbation result for the existence of continuous semigroups. Received: 18 April 1996 / Accepted: 3 March 1997 |
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