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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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:
28.06.04
Published:
28.06.04

Related publications

Preprint
2004 Repository Open Access
XiaoLi Han and Jürgen Jost

Dirac-wave maps

inJournal
2005 Repository Open Access
XiaoLi Han

Dirac-wave maps

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