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SLAC Publication: SLAC-PUB-14107
SLAC Release Date: August 25, 2010
Essence of the Vacuum Quark Condensate
Brodsky, Stanley.
We show that the chiral-limit vacuum quark condensate is qualitatively equivalent to the pseu- doscalar 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, i... Show Full Abstract
We show that the chiral-limit vacuum quark condensate is qualitatively equivalent to the pseu- doscalar 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. Show Partial Abstract
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  • Interest Categories: HEP Phenomenology, HEP Theory