English

The gradient flow at higher orders in perturbation theory

High Energy Physics - Lattice 2024-11-21 v2 High Energy Physics - Phenomenology

Abstract

Various results for higher-order perturbative calculations in the gradient-flow formalism are reviewed, including the gradient-flow beta function and the small-flow-time expansion of the hadronic vacuum polarization and the energy-momentum tensor. In addition, the strategy of regions is outlined in order to obtain systematic expansions of gradient-flow integrals, for example at large and small flow times.

Keywords

Cite

@article{arxiv.2111.14376,
  title  = {The gradient flow at higher orders in perturbation theory},
  author = {Robert Harlander},
  journal= {arXiv preprint arXiv:2111.14376},
  year   = {2024}
}

Comments

9 pages, presentation at the 38th International Symposium on Lattice Field Theory, 26th-30th July 2021, Massachusetts Institute of Technology, USA; v2: typos fixed

R2 v1 2026-06-24T07:55:19.892Z