Journal
PHYSICAL REVIEW C
Volume 82, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevC.82.022201
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Funding
- Argonne/University of Chicago Joint Theory Institute
- US Department of Energy [DE-AC02-76SF00515]
- US Department of Energy, Office of Nuclear Physics [DE-AC02-06CH11357]
- US National Science Foundation [NSF-PHY-06-53342, NSF-PHY-0903991]
- Division Of Physics
- Direct For Mathematical & Physical Scien [0903991] Funding Source: National Science Foundation
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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 wave functions.
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