1/N corrections to ⟨ TJJ⟩ and ⟨ TTT⟩ in the critical O(N) vector and Gross--Neveu--Yukawa models
Abstract
We compute the subleading corrections in the 1/N expansion of the three-point functions ⟨ TJJ⟩ and ⟨ TTT⟩ in the three-dimensional critical O(N) vector and Gross--Neveu--Yukawa models. We determine the coefficients of the two parity-even conformal structures and the corresponding conformal collider parameters. The calculation uses an expansion of momentum-space Feynman diagrams in a soft external momentum, together with the contact terms required by background gauge and metric sources. The sums of the structure coefficients reproduce the known current and stress-tensor two-point normalizations. We also compute these coefficients independently using the metric and mixed metric--gauge derivatives of the sphere free energy. Extrapolating the large N results to the O(2) vector model yields reasonably good agreement with recent numerical bootstrap bounds. At N=2, our γ and t4 predictions lie within the joint bootstrap region under weaker spectral assumptions; their deviations from the more restrictive interval midpoints are only 3.28% and 4.44%, respectively. We discuss the implications for energy flux, high-frequency conductivity, and shear response near quantum criticality.
Related
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BibTeX
@misc{guo2026corrections,
title = {{$1/N$ corrections to $\langle TJJ\rangle$ and $\langle TTT\rangle$ in the critical $O(N)$ vector and Gross--Neveu--Yukawa models}},
author = {Yongwei Guo and Zhijin Li},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07394},
eprint = {2611.07394},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07394},
}
RIS
TY - UNPB
TI - 1/N corrections to ⟨ TJJ⟩ and ⟨ TTT⟩ in the critical O(N) vector and Gross--Neveu--Yukawa models
AU - Yongwei Guo
AU - Zhijin Li
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.07394
UR - https://arxiv.org/abs/2611.07394
AB - We compute the subleading corrections in the 1/N expansion of the three-point functions ⟨ TJJ⟩ and ⟨ TTT⟩ in the three-dimensional critical O(N) vector and Gross--Neveu--Yukawa models. We determine the coefficients of the two parity-even conformal structures and the corresponding conformal collider parameters. The calculation uses an expansion of momentum-space Feynman diagrams in a soft external momentum, together with the contact terms required by background gauge and metric sources. The sums of the structure coefficients reproduce the known current and stress-tensor two-point normalizations. We also compute these coefficients independently using the metric and mixed metric--gauge derivatives of the sphere free energy. Extrapolating the large N results to the O(2) vector model yields reasonably good agreement with recent numerical bootstrap bounds. At N=2, our γ and t_4 predictions lie within the joint bootstrap region under weaker spectral assumptions; their deviations from the more restrictive interval midpoints are only 3.28% and 4.44%, respectively. We discuss the implications for energy flux, high-frequency conductivity, and shear response near quantum criticality.
ER -