We propose a systematic way of finding solutions to the classical Yang–Mills equation with nontrivial topology. This approach is based on one of the Wightman axioms for quantum field theory, which is referred to as t...We propose a systematic way of finding solutions to the classical Yang–Mills equation with nontrivial topology. This approach is based on one of the Wightman axioms for quantum field theory, which is referred to as the form invariance condition in this paper. For a given gauge group and a spacetime with certain isometries, thanks to this axiom that imposes strong constraints on the general ansatz, a systematic way of solving the Yang–Mills equation can be obtained in both flat and curved spacetimes. In order to demonstrate this method, we recover various known solutions as special cases, as well as producing new solutions not previously reported in the literature.展开更多
Magnetic skyrmions are topological spin configurations of magnetizations, which usually originate from the chiral Dzyaloshinskii-Moriya interactions and have been observed in the laboratory [1,2]. They have stimulated...Magnetic skyrmions are topological spin configurations of magnetizations, which usually originate from the chiral Dzyaloshinskii-Moriya interactions and have been observed in the laboratory [1,2]. They have stimulated the research interest associated with both spintronics and information storage [3, 4] and have also provided a broad stage for gauge field theory.展开更多
基金supported in part by the U.S.Department of Energy under grant DE-SC0007859a Van Loo Postdoctoral Fellowship.
文摘We propose a systematic way of finding solutions to the classical Yang–Mills equation with nontrivial topology. This approach is based on one of the Wightman axioms for quantum field theory, which is referred to as the form invariance condition in this paper. For a given gauge group and a spacetime with certain isometries, thanks to this axiom that imposes strong constraints on the general ansatz, a systematic way of solving the Yang–Mills equation can be obtained in both flat and curved spacetimes. In order to demonstrate this method, we recover various known solutions as special cases, as well as producing new solutions not previously reported in the literature.
文摘Magnetic skyrmions are topological spin configurations of magnetizations, which usually originate from the chiral Dzyaloshinskii-Moriya interactions and have been observed in the laboratory [1,2]. They have stimulated the research interest associated with both spintronics and information storage [3, 4] and have also provided a broad stage for gauge field theory.
