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MiS Preprint
44/2004

Dirac-Wave Maps

Xiaoli Han and Jürgen Jost

Abstract

We introduce a functional that couples the nonlinear sigma model with a spinor field: $L=\int_{R^{1+1}}[|d\phi|^2+ \langle \psi,D\psi\rangle]$. 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.

Received:
Jun 28, 2004
Published:
Jun 28, 2004

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In: Calculus of variations and partial differential equations, 23 (2005) 2, pp. 193-204