English

Chiral perturbation theory for gradient flow observables

High Energy Physics - Lattice 2014-05-21 v2

Abstract

We construct the next-to-leading order chiral lagrangian for scalar and pseudo-scalar densities defined using the gradient flow. We calculate the chiral condensate and the pion decay constant to this order from operators at positive flow time, and confirm results obtained earlier in the chiral limit. We also calculate the quark mass dependence of the scales t0t_0 and w0w_0 defined from the scalar gluon density and find that nonanalytic terms in the quark mass only enter at next-to-next-to-leading order.

Keywords

Cite

@article{arxiv.1312.4999,
  title  = {Chiral perturbation theory for gradient flow observables},
  author = {Oliver Bar and Maarten Golterman},
  journal= {arXiv preprint arXiv:1312.4999},
  year   = {2014}
}

Comments

13 pages, error in Eq. (4.5) fixed, no change in conclusions

R2 v1 2026-06-22T02:30:04.687Z