Nonlinear Dirac Equations, Monotonicity Formulas and Liouville Theorems

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 curvatu...

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Detalles Bibliográficos
Autor principal: Branding, Volker
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7336246/
https://www.ncbi.nlm.nih.gov/pubmed/32675824
http://dx.doi.org/10.1007/s00220-019-03608-z
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author Branding, Volker
author_facet Branding, Volker
author_sort Branding, Volker
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description 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.
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spelling pubmed-73362462020-07-14 Nonlinear Dirac Equations, Monotonicity Formulas and Liouville Theorems Branding, Volker Commun Math Phys Article 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. Springer Berlin Heidelberg 2019-11-13 2019 /pmc/articles/PMC7336246/ /pubmed/32675824 http://dx.doi.org/10.1007/s00220-019-03608-z Text en © The Author(s) 2019 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Branding, Volker
Nonlinear Dirac Equations, Monotonicity Formulas and Liouville Theorems
title Nonlinear Dirac Equations, Monotonicity Formulas and Liouville Theorems
title_full Nonlinear Dirac Equations, Monotonicity Formulas and Liouville Theorems
title_fullStr Nonlinear Dirac Equations, Monotonicity Formulas and Liouville Theorems
title_full_unstemmed Nonlinear Dirac Equations, Monotonicity Formulas and Liouville Theorems
title_short Nonlinear Dirac Equations, Monotonicity Formulas and Liouville Theorems
title_sort nonlinear dirac equations, monotonicity formulas and liouville theorems
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7336246/
https://www.ncbi.nlm.nih.gov/pubmed/32675824
http://dx.doi.org/10.1007/s00220-019-03608-z
work_keys_str_mv AT brandingvolker nonlineardiracequationsmonotonicityformulasandliouvilletheorems

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