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Dirac-wave maps

  • Xiaoli HanEmail author
Article

Abstract.

Motivated by supersymmetric field theories, we couple the nonlinear sigma model on 1 + 1-dimensional Minkowski space with a spinor field. The corresponding Lagrangian is \({\cal L} = \int_{R^{1 + 1}}\{\vert d\phi\vert^2 + \langle\psi,{D \hskip -2.4mm \slash}\psi\rangle\}\). The classical solutions of this model are called Dirac-wave maps. We prove that there exists a unique global solution for given Cauchy data.

Keywords

Field Theory System Theory Classical Solution Global Solution Sigma Model 
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References

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    Shatah, J., Struwe, M.: Geometric wave equations. Courant Lecture Notes in Mathematics, 2. Courant Institute of Mathematical Sciences, New York University, New York 1998Google Scholar

Copyright information

© Springer-Verlag Berlin/Heidelberg 2005

Authors and Affiliations

  1. 1.Partner Group of Max Planck Institute for Mathematics in the SciencesLeipzigGermany
  2. 2.Institute of MathematicsChinese Academy of SciencesBeijingPR of China

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