English

Vacuum pseudoscalar susceptibility

Nuclear Theory 2014-11-20 v1 High Energy Physics - Lattice High Energy Physics - Phenomenology

Abstract

We derive a novel model-independent result for the pion susceptibility in QCD via the isovector-pseudoscalar vacuum polarisation. In the neighbourhood of the chiral-limit, the pion susceptibility can be expressed as a sum of two independent terms. The first expresses the pion-pole contribution. The second is identical to the vacuum chiral susceptibility, which describes the response of QCD's ground-state to a fluctuation in the current-quark mass. In this result one finds a straightforward explanation of a mismatch between extant estimates of the pion susceptibility.

Keywords

Cite

@article{arxiv.0912.2687,
  title  = {Vacuum pseudoscalar susceptibility},
  author = {Lei Chang and Yu-Xin Liu and Craig D. Roberts and Yuan-Mei Shi and Wei-Min Sun and Hong-Shi Zong},
  journal= {arXiv preprint arXiv:0912.2687},
  year   = {2014}
}

Comments

4 pages

R2 v1 2026-06-21T14:23:37.860Z