A topological way of finding solutions to the Yang–Mills equation  

作　　者：Jun Nian Yachao Qian 

机构地区：[1]Leinweber Center for Theoretical Physics,University of Michigan,Ann Arbor,MI 48109,United States of America [2]Department of Physics and Astronomy,Stony Brook University,Stony Brook,NY 11794-3800,United States of America

出　　处：《Communications in Theoretical Physics》2020年第8期87-95,共9页理论物理通讯（英文版）

基　　金：supported in part by the U.S.Department of Energy under grant DE-SC0007859;a Van Loo Postdoctoral Fellowship.

摘　　要：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.

关 键 词：Yang–Mills theory form invariance curved space exact solutions Wu-Yang monopole INSTANTON 

分 类 号：O411.1[理学—理论物理]