论文标题
Yang-Mills方程的逆问题
Inverse problem for the Yang-Mills equations
论文作者
论文摘要
我们表明，可以从四维Minkowski空间中与Yang-Mills方程相关联的源到解决类型数据进行计量恢复。我们的证明分析了通过合适的非线性相互作用产生的波的主要符号，并将反转减少到破裂的非亚洲光线变换。相互作用的主要符号分析是基于一个微妙的计算，该计算涉及所考虑的谎言代数的结构，并且对于任何紧凑的谎言组而言，最终结果均持有。
We show that a connection can be recovered up to gauge from source-to-solution type data associated with the Yang-Mills equations in the four dimensional Minkowski space. Our proof analyzes the principal symbols of waves generated by suitable nonlinear interactions and reduces the inversion to a broken non-abelian light ray transform. The principal symbol analysis of the interaction is based on a delicate calculation that involves the structure of the Lie algebra under consideration and the final result holds for any compact Lie group.
