New perspectives on the quark condensate (original) (raw)

ADS

;

• Roberts, Craig D. ;
• Shrock, Robert ;
• Tandy, Peter C.

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 wave functions.

Publication:

Physical Review C

Pub Date:

August 2010

DOI:

10.1103/PhysRevC.82.022201

10.48550/arXiv.1005.4610

arXiv:

arXiv:1005.4610

Bibcode:

2010PhRvC..82b2201B

Keywords:

• 11.30.Rd;
• 14.40.Be;
• 24.85.+p;
• 11.15.Tk;
• Chiral symmetries;
• Quarks gluons and QCD in nuclei and nuclear processes;
• Other nonperturbative techniques;
• Nuclear Theory;
• Astrophysics - Cosmology and Extragalactic Astrophysics;
• High Energy Physics - Lattice;
• High Energy Physics - Phenomenology;
• High Energy Physics - Theory

E-Print:

5 pages, 1 figure