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Energy methods for Dirac-type equations in two-dimensional Minkowski space

Energy methods for Dirac-type equations in two-dimensional Minkowski space

In this article, we develop energy methods for a large class of linear and nonlinear Dirac-type equations in two-dimensional Minkowski space. We will derive existence results for several Dirac-type equations originating in quantum field theory, in particular for Dirac-wave maps to compact Riemannian manifolds.