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Author

Lei Liu

Central China Normal University
Bio: Lei Liu is an academic researcher from Central China Normal University. The author has contributed to research in topics: Quantum field theory & Nonlinear system. The author has co-authored 1 publications.
Topics: Quantum field theory, Nonlinear system, Boundary value problem, Field (physics), Spinor field
Papers
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Journal Article•DOI•
Boundary Value Problems for Dirac-Harmonic Maps and Their Heat Flows

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Lei Liu1, Miaomiao Zhu2•
Central China Normal University1, Shanghai Jiao Tong University2
01 Apr 2021-Vietnam journal of mathematics
TL;DR: In this article, the authors discuss the latest progress on heat flow approaches for the existence of Dirac-harmonic maps under appropriate boundary conditions, and discuss the refined blow-up analysis for two types of approximating Diracharmonic mapping arising from those heat-flow approaches.
Abstract: Dirac-harmonic maps are critical points of an action functional that is motivated from the nonlinear σ-model of quantum field theory. They couple a harmonic map like field with a nonlinear spinor field. In this article, we shall discuss the latest progress on heat flow approaches for the existence of Dirac-harmonic maps under appropriate boundary conditions. Also, we discuss the refined blow-up analysis for two types of approximating Dirac-harmonic maps arising from those heat flow approaches.