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Elliptic-type solutions to the scale invariant Yang-Mills and sigma-model hierarchies

  • Theoretical Physics
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Zeitschrift für Physik C Particles and Fields

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 ofφ 4 and Sine-Gordon models in one dimension respectively. The construction is carried out explicitly for the usual Yang-Mills model on ℝ4, and the first two sigma-models on ℝ2 and ℝ4. The solution to the first member of the Yang-Mills hierarchy is related to elliptic solutions found previously.

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Authors and Affiliations

  1. Department of Physics, University of Kaiserslautern, P.O. Box 3049, D-67653, Kaiserslautern, Germany

    G. M. O'Brien, D. H. Tchrakian & H. J. W. Müller-Kirsten

  2. School of Theoretical Physics, Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland

    G. M. O'Brien & D. H. Tchrakian

  3. Department of Mathematical Physics, St. Patrick's College, Maynooth, Ireland

    D. H. Tchrakian

Authors
  1. G. M. O'Brien
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  2. D. H. Tchrakian
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  3. H. J. W. Müller-Kirsten
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O'Brien, G.M., Tchrakian, D.H. & Müller-Kirsten, H.J.W. Elliptic-type solutions to the scale invariant Yang-Mills and sigma-model hierarchies. Z. Phys. C - Particles and Fields 66, 513–516 (1995). https://doi.org/10.1007/BF01556379

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  • DOI: https://doi.org/10.1007/BF01556379

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