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PreprintCC BY 4.0arXiv

Bjorken sum rule down to the elastic region from the lattice

  • J. A. Crawford
  • A. Hannaford-Gunn
  • R. Horsley
  • P. E. L. Rakow
  • T. G. Schar
  • G. Schierholz
  • H. Stüben
  • R. D. Young
  • J. M. Zanotti
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Abstract

We present a lattice determination of the Bjorken sum rule via a Feynman-Hellmann calculation of the polarised forward Compton amplitude. We evaluate the lowest moment of the nucleon's polarised structure function, g1, which we calculate over the range 0.5≲ Q2 ≲ 8 GeV2, covering both non-perturbative and perturbative regions. We compare our calculated moments with the Bjorken sum rule, and discuss implications for the calculation of higher-twist effects, as well as evaluations of αs(Q2) from hadronic quantities to complement phenomenological and other lattice methods.

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Cite

BibTeXRIS
BibTeX
@misc{crawford2026bjorken,
  title = {{Bjorken sum rule down to the elastic region from the lattice}},
  author = {J. A. Crawford and A. Hannaford-Gunn and R. Horsley and P. E. L. Rakow and T. G. Schar and G. Schierholz and H. Stüben and R. D. Young and J. M. Zanotti},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.10006},
  eprint = {2610.10006},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.10006},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Bjorken sum rule down to the elastic region from the lattice
AU  - J. A. Crawford
AU  - A. Hannaford-Gunn
AU  - R. Horsley
AU  - P. E. L. Rakow
AU  - T. G. Schar
AU  - G. Schierholz
AU  - H. Stüben
AU  - R. D. Young
AU  - J. M. Zanotti
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2610.10006
UR  - https://arxiv.org/abs/2610.10006
AB  - We present a lattice determination of the Bjorken sum rule via a Feynman-Hellmann calculation of the polarised forward Compton amplitude. We evaluate the lowest moment of the nucleon's polarised structure function, g_1, which we calculate over the range 0.5≲ Q^2 ≲ 8 GeV^2, covering both non-perturbative and perturbative regions. We compare our calculated moments with the Bjorken sum rule, and discuss implications for the calculation of higher-twist effects, as well as evaluations of α_s(Q^2) from hadronic quantities to complement phenomenological and other lattice methods.
ER  -