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Energy-energy correlators in the large-charge limit of 𝒩=4 super Yang-Mills theory

Abstract

We study the energy-energy correlator (EEC) in heavy states of four-dimensional 𝒩=4 super Yang--Mills theory in the large-charge 't Hooft limit, in which the dimension Δ of the heavy operator (or, equivalently, its R-charge) is taken to infinity with the effective coupling λQ ∝ gYM2Δ held fixed. The relevant heavy-heavy-light-light four-point correlators are known to all orders in λQ in this limit. For certain classes of operators, the perturbative series can be resummed to obtain exact finite-coupling expressions. We use these results to determine the corresponding EEC, whose dynamical part can be extracted from a double discontinuity of the four-point correlator. We determine the EEC at finite effective coupling and study its physical behavior as a function of λQ and the angular separation between the detectors, both at generic angles and in the collinear and back-to-back limits.

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BibTeX
@misc{georgoudis2026energyenergy,
  title = {{Energy-energy correlators in the large-charge limit of $\mathcalN=4$ super Yang-Mills theory}},
  author = {Alessandro Georgoudis and Max Jackson and Congkao Wen},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.12414},
  eprint = {2610.12414},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.12414},
}
RIS
TY  - UNPB
TI  - Energy-energy correlators in the large-charge limit of 𝒩=4 super Yang-Mills theory
AU  - Alessandro Georgoudis
AU  - Max Jackson
AU  - Congkao Wen
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2610.12414
UR  - https://arxiv.org/abs/2610.12414
AB  - We study the energy-energy correlator (EEC) in heavy states of four-dimensional 𝒩=4 super Yang--Mills theory in the large-charge 't Hooft limit, in which the dimension Δ of the heavy operator (or, equivalently, its R-charge) is taken to infinity with the effective coupling λ_Q ∝ g_YM^2Δ held fixed. The relevant heavy-heavy-light-light four-point correlators are known to all orders in λ_Q in this limit. For certain classes of operators, the perturbative series can be resummed to obtain exact finite-coupling expressions. We use these results to determine the corresponding EEC, whose dynamical part can be extracted from a double discontinuity of the four-point correlator. We determine the EEC at finite effective coupling and study its physical behavior as a function of λ_Q and the angular separation between the detectors, both at generic angles and in the collinear and back-to-back limits.
ER  -