Article

# Vacuum pseudoscalar susceptibility

12/2009; DOI:abs/0912.2687
Source: arXiv

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. Comment: 4 pages

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### Keywords

4 pages

chiral-limit

current-quark mass

extant estimates

independent terms

novel model-independent result

pion susceptibility

pion-pole contribution

QCD's ground-state

vacuum chiral susceptibility