English

Addendum: Long-range multi-scalar models at three loops

High Energy Physics - Theory 2025-04-03 v2 Statistical Mechanics

Abstract

We correct the computation of one Feynman diagram in the three-loop beta functions for the long-range quartic multi-scalar model, originally presented in (2020 J. Phys. A: Math. Theor. 53 445008) [arXiv:2007.04603]. The correction requires the use of a different method than in the original paper, and we give here full details about the method. We then report the updated numerics for critical exponents of the Ising model, vector model, cubic model and bifundamental model. Mathematica files for the numerical evaluation of the corrected diagram are provided in ancillary.

Keywords

Cite

@article{arxiv.2411.00805,
  title  = {Addendum: Long-range multi-scalar models at three loops},
  author = {Dario Benedetti and Razvan Gurau and Sabine Harribey},
  journal= {arXiv preprint arXiv:2411.00805},
  year   = {2025}
}

Comments

Corrigendum and addendum of [arXiv:2007.04603]. Ancillary files are provided giving the Mathematica script to numerically evaluate the corrected diagram. v2: references added

R2 v1 2026-06-28T19:44:39.495Z