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On stability of solutions of theU(N) chiral model in two dimensions |
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| Authors: | B. Piette I. Stokoe W. J. Zakrzewski |
| Affiliation: | 1. Institut de Physique Theorique, Universite Catholique de Louvain, B-1348, Louvain-la-Neuve, Belgium 3. Department of Mathematical Sciences, University of Durham, DH1 3LE, Durham, England |
| Abstract: | We discuss the stability properties of classical solutions of theU(N) sigma models in two Euclidean dimensions. We show that all nontrivial solutions are unstable. For a general case we exhibit one mode of instability; in some special cases (corresponding to a grassmannian solution and an instantonic grassannian embedding) we exhibit two such independent modes. |
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