Essence of the vacuum quark condensate

Abstract

We show that the chiral-limit vacuum quark condensate is qualitatively equivalent to the pseudoscalar meson leptonic decay constant in the sense that they are both obtained as the chiral-limit value of well-defined gauge-invariant hadron-to-vacuum transition amplitudes that possess a spectral representation in terms of the current-quark mass. Thus, whereas it might sometimes be convenient to imagine otherwise, neither is essentially a constant mass-scale that fills all spacetime. This means, in particular, that the quark condensate can be understood as a property of hadrons themselves, which is expressed, for example, in their Bethe-Salpeter or light-front wavefunctions.

5 pages, 1 figure

References in corpus (8)

• Infrared Properties of QCD from Dyson-Schwinger equations
• Sketching the Bethe-Salpeter kernel
• Chiral Perturbation Theory Beyond One Loop
• Chiral perturbation theory
• Maximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics
• Flavour symmetry breaking and meson masses
• Dynamical chiral symmetry breaking and a critical mass
• On the $\pi$ and $K$ as $q\bar{q}$ Bound States and Approximate Nambu-Goldstone Bosons

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