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Elliptic-type solutions to the scale invariant Yang-Mills and sigma-model hierarchies |
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| Authors: | G M O'Brien D H Tchrakian H J W Müller-Kirsten |
| Institution: | 1. Department of Physics, University of Kaiserslautern, P.O. Box 3049, D-67653, Kaiserslautern, Germany 2. School of Theoretical Physics, Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland 3. Department of Mathematical Physics, St. Patrick's College, Maynooth, Ireland |
| Abstract: | We outline the construction of non-self-dual elliptic solutions by relating the spherically symmetric subsystem of the (scale invariant) Yang-Mills and sigmamodel hierarchies to the hierarchies of
4 and Sine-Gordon models in one dimension respectively. The construction is carried out explicitly for the usual Yang-Mills model on  4, and the first two sigma-models on 2 and 4. The solution to the first member of the Yang-Mills hierarchy is related to elliptic solutions found previously. |
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