Nonlinear Dirac equations, Monotonicity Formulas and Liouville Theorems
Differential Geometry
2019-11-28 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We study the qualitative behavior of nonlinear Dirac equations arising in quantum field theory on complete Riemannian manifolds. In particular, we derive monotonicity formulas and Liouville theorems for solutions of these equations. Finally, we extend our analysis to Dirac-harmonic maps with curvature term.
Cite
@article{arxiv.1605.03453,
title = {Nonlinear Dirac equations, Monotonicity Formulas and Liouville Theorems},
author = {Volker Branding},
journal= {arXiv preprint arXiv:1605.03453},
year = {2019}
}