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arXiv · 2606.27241

Characteristic Lightcone Sources in SO(1,3) Yang-Mills Theory

Kaushlendra Kumar
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Abstract

The SO(1,3)-symmetric reduction of Yang-Mills theory on Minkowski space yields a stress-energy tensor that is smooth on the timelike and spacelike Lorentz orbits but diverges on the lightcone that separates the two regions. We ask what consistent source this singularity represents. A natural cure is a real shift of the singular denominator. This does not regularize the source but instead moves the singular support onto a hyperboloid off the cone, where the corresponding source cannot remain both conserved and traceless. Our analysis shows that the displaced support cannot retain both properties, whereas a completion on the lightcone can. The matching condition fixes this completion up to one parameter $\chi$, which has a causal interpretation as the relative weight of the future and past cones. On regular constant-time slices, the completed source carries zero total four-momentum, so its physical content is a residual causal charge inferred from its curvature response.

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Kaushlendra Kumar. 2026-06-25. Characteristic Lightcone Sources in SO(1,3) Yang-Mills Theory. https://doi.org/10.1016/j.physletb.2026.140865

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