Improved method for extracting low-energy expansion from OPE in mass-gapped theories
Abstract
Recently, Takaura proposed a new method for extracting the first nonzero coefficient of the low-energy expansion of an observable from its operator product expansion (OPE) in asymptotically free theories with a mass gap and a single threshold. The method uses a weight function to suppress the contribution of the ``duality-violation'' (DV) term that arises when relating the OPE to the low-energy expansion. We extend this method to low-energy expansion coefficients at arbitrary orders. We present two approaches: Method I uses weight functions that isolate the coefficients of low-energy expansion from the OPE. Method II subtracts the DV contribution from the OPE before the extraction. Applying these methods to the two-dimensional large-N O(N) nonlinear sigma model, we find that both methods successfully reconstruct higher-order low-energy expansion coefficients.
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BibTeX
@misc{furuta2026improved,
title = {{Improved method for extracting low-energy expansion from OPE in mass-gapped theories}},
author = {Hajime Furuta and Yukinari Sumino},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07389},
eprint = {2611.07389},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07389},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Improved method for extracting low-energy expansion from OPE in mass-gapped theories
AU - Hajime Furuta
AU - Yukinari Sumino
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.07389
UR - https://arxiv.org/abs/2611.07389
AB - Recently, Takaura proposed a new method for extracting the first nonzero coefficient of the low-energy expansion of an observable from its operator product expansion (OPE) in asymptotically free theories with a mass gap and a single threshold. The method uses a weight function to suppress the contribution of the ``duality-violation'' (DV) term that arises when relating the OPE to the low-energy expansion. We extend this method to low-energy expansion coefficients at arbitrary orders. We present two approaches: Method I uses weight functions that isolate the coefficients of low-energy expansion from the OPE. Method II subtracts the DV contribution from the OPE before the extraction. Applying these methods to the two-dimensional large-N O(N) nonlinear sigma model, we find that both methods successfully reconstruct higher-order low-energy expansion coefficients.
ER -