

Preprint 44/2004
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
Bibtex
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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.