English

Excited-state contribution to the axial-vector and pseudo-scalar correlators with two extra pions

High Energy Physics - Lattice 2013-05-30 v1

Abstract

We study multi-particle state contributions to the QCD two-point functions of the axial-vector and pseudo-scalar quark bilinears in a finite spatial volume. For sufficiently small quark masses one expects three-meson states with two additional pions at rest to have the lowest total energy after the ground state. We calculate this three-meson state contribution using chiral perturbation theory. We find it to be strongly suppressed and too small to be seen in present-day lattice simulations.

Keywords

Cite

@article{arxiv.1209.2258,
  title  = {Excited-state contribution to the axial-vector and pseudo-scalar correlators with two extra pions},
  author = {Oliver Bar and Maarten Golterman},
  journal= {arXiv preprint arXiv:1209.2258},
  year   = {2013}
}

Comments

17 pages, 5 figures