Dirac-Wave Maps

Xiaoli Han and Jürgen Jost

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Submission date: 28. Jun. 2004
Pages: 11
published in: Calculus of variations and partial differential equations, 23 (2005) 2, p. 193-204 
DOI number (of the published article): 10.1007/s00526-004-0296-3
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Abstract:
We introduce a functional that couples the nonlinear sigma model with a spinor field: . In two dimensions, it is conformally invariant. The critical points of this functional are called Dirac-wave maps. We prove that there exists global solution for the Cauchy data.