Dirac-wave maps

Xiaoli Han
June 2005
Calculus of Variations & Partial Differential Equations;Jun2005, Vol. 23 Issue 2, p193
Academic Journal
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. The classical solutions of this model are called Dirac-wave maps. We prove that there exists a unique global solution for given Cauchy data.


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