Large Charge Jets in 𝒩=4 SYM Energy Correlators

@misc{grassi2026large,
  title = {{Large Charge Jets in $\mathcalN=4$ SYM Energy Correlators}},
  author = {Alba Grassi and Cristoforo Iossa and Luigi Tizzano and Alexander Zhiboedov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.10707},
  eprint = {2610.10707},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.10707},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Large Charge Jets in 𝒩=4 SYM Energy Correlators
AU  - Alba Grassi
AU  - Cristoforo Iossa
AU  - Luigi Tizzano
AU  - Alexander Zhiboedov
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2610.10707
UR  - https://arxiv.org/abs/2610.10707
AB  - We compute the energy-energy correlator in a state created by a heavy canonical operator of scaling dimension Δ_H in 𝒩=4 SU(N) SYM, at fixed N and arbitrary values of the large charge 't Hooft coupling λ∼ Δ_H g_YM^2. The state created by the canonical operator triggers spontaneous breaking of conformal symmetry and the Higgs mechanism, with squared W-boson masses proportional to λ. We start with the known finite-coupling result for the underlying four-point function of local operators, perform the detector and Fourier transforms and express the resulting energy-energy correlator as an infinite OPE sum in the source-detector channel, which we then analyze both numerically and analytically. We show that the finite-coupling energy-energy correlator exhibits a hierarchy of distinct physical regimes as a function of z=(1−cosθ)/2, where θ is the angle between the detectors. A small-angle vacuum-dominated behavior at z≪λ^−1 is followed by a non-monotonic medium-induced transient behavior at λz ∼1. A large charge jet regime follows, where the energy-energy correlator displays a power-law behavior ∼1/(λz^3) for λ^−1≲ z ≲ λ^−1/3, before approaching an angle-independent plateau at larger angles.
ER  -