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arXiv · 2005.12578

Inverse problem for the Yang-Mills equations

Xi Chen·Matti Lassas·Lauri Oksanen·Gabriel P. Paternain
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Abstract

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.

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Xi Chen, Matti Lassas, Lauri Oksanen, Gabriel P. Paternain. 2020-05-26. Inverse problem for the Yang-Mills equations. https://doi.org/10.1007/s00220-021-04006-0

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