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

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.

References in corpus (5)

• Liouville Theorems for Dirac-Harmonic Maps
• Some aspects of Dirac-harmonic maps with curvature term
• A rigorous geometric derivation of the chiral anomaly in curved backgrounds
• Energy estimates for the supersymmetric nonlinear sigma model and applications
• On the full bosonic string from Minkowski space to Riemannian manifolds

Cited by in corpus (2)

• Global existence of Dirac-wave maps with curvature term on expanding spacetimes
• Dirac-harmonic maps with potential