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

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          Abstract

          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.

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          Most cited references21

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          A soluble relativistic field theory

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            Geometrical structure and ultraviolet finiteness in the supersymmetric ?-model

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              Classical, Stable, Nonlinear Spinor Field with Positive Rest Energy

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                Author and article information

                Journal
                2017-06-19
                Article
                1706.05971
                52125b38-c416-47b1-9f53-0082f577df47

                http://creativecommons.org/licenses/by-nc-sa/4.0/

                History
                Custom metadata
                35L02, 35L60, 58J45, 53C27
                math.DG math-ph math.AP math.MP

                Mathematical physics,Analysis,Mathematical & Computational physics,Geometry & Topology

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