Classical Yang-Mills-Dirac equations: Qualitative analysis of some solutions with a noncompact symmetry group

Antoine, Jean-Pierre;Mahara, Isidore
(1996) Letters in Mathematical Physics : a journal for the rapid dissemination of short contributions in the field of mathematical physics — Vol. 38, p. 237-255 (1996)

Files

pdfdocument.pdf
  • Restricted Access
  • Adobe PDF
  • 647.95 KB
Request a copy

Details

Authors
  • Antoine, Jean-Pierreorcid-logoUCLouvain
    Author
  • Mahara, IsidoreUCLouvain
    Author
Abstract
We consider classical Yang-MiUs and Yang-Mills-Dirac equations on Minkowski space, with gauge group SU(2), and look for solutions invariant (up to a gauge transformation) under SO (3) x SOo(1, 1) and SOo(2, 1) x SO(2), respectively. In each case, we analyze the qualitative features of the solutions, in particular the asymptotic behavior as the solution approaches its singularities. The method is based on standard theorems from the theory of nonlinear ordinary differential equations.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Antoine, J.-P., & Mahara, I. (1996). Classical Yang-Mills-Dirac equations: Qualitative analysis of some solutions with a noncompact symmetry group. Letters in Mathematical Physics : A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics, 38, 237-255. https://doi.org/10.1007/BF00398349 (Original work published 1996)