Characteristic Lightcone Sources in SO(1,3) Yang-Mills Theory
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 χ, 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.
Versions
Related
- One-loop unifying relations between Yang-Mills theory and the nonlinear sigma model from Berends-Giele currents
- The first law of black hole mechanics in conformal Einstein-Power-Yang–Mills theory
- Color-factor symmetry using perturbiner methods for tree-level amplitudes of Yang-Mills theory coupled to matter
- Confining strings in the reconfined phase of trace deformed three dimensional SU(2) Yang-Mills theory
- Hyperbolic monopole-type solutions in SU(3) Yang-Mills theory
BibTeX
@misc{kumar2026characteristic,
title = {{Characteristic Lightcone Sources in SO(1,3) Yang-Mills Theory}},
author = {Kaushlendra Kumar},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.27241},
eprint = {2606.27241},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.27241},
}
RIS
TY - UNPB
TI - Characteristic Lightcone Sources in SO(1,3) Yang-Mills Theory
AU - Kaushlendra Kumar
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2606.27241
UR - https://arxiv.org/abs/2606.27241
AB - 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 χ, 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.
ER -