Vacuum pseudoscalar susceptibility

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.

4 pages

References in corpus (6)

• Sketching the Bethe-Salpeter kernel
• Flavour symmetry breaking and meson masses
• B- to light-meson transition form factors
• Chemical potential and the gap equation
• Revisiting the Vector and Axial-vector Vacuum Susceptibilities
• Perturbative QCD at High Energy Colliders

Cited by in corpus (15)

• Collective perspective on advances in Dyson-Schwinger Equation QCD
• Phase diagram and critical endpoint for strongly-interacting quarks
• Essence of the vacuum quark condensate
• Confinement contains condensates
• Ward-Green-Takahashi identities and the axial-vector vertex
• Quark spectral density and a strongly-coupled QGP
• Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
• Existence and stability of multiple solutions to the gap equation
• Flow probe of symmetry energy in relativistic heavy-ion reactions
• Zero mode in a strongly coupled quark gluon plasma
• Dynamical chiral symmetry breaking in the NJL model with a constant external magnetic field
• Influence of gauge boson mass on the staggered spin susceptibility
• Susceptibilities and critical exponents within the Nambu--Jona-Lasinio model
• Measurement of the Σ beam asymmetry for the ω photo-production off the proton and the neutron at GRAAL
• Calculation of tensor susceptibility beyond rainbow-ladder approximation of Dyson-Schwinger equations approach