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Phys. Rev. C 68, 015203 (2003) [9 pages]

Analysis of a quenched lattice-QCD dressed-quark propagator

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M. S. Bhagwat
Center for Nuclear Research, Department of Physics, Kent State University, Kent, Ohio 44242, USA

M. A. Pichowsky
Center for Nuclear Research, Department of Physics, Kent State University, Kent, Ohio 44242, USA

C. D. Roberts
Physics Division, Argonne National Laboratory, Argonne, Illinois 60439-4843, USA

P. C. Tandy
Center for Nuclear Research, Department of Physics, Kent State University, Kent, Ohio 44242, USA

Received 1 April 2003; published 29 July 2003

Quenched lattice-QCD data on the dressed-quark Schwinger function can be correlated with dressed-gluon data via a rainbow gap equation so long as that equation’s kernel possesses enhancement at infrared momenta above that exhibited by the gluon alone. The required enhancement can be ascribed to a dressing of the quark-gluon vertex. The solutions of the rainbow gap equation exhibit dynamical chiral symmetry breaking and are consistent with confinement. The gap equation and related, symmetry-preserving ladder Bethe-Salpeter equation yield estimates for chiral and physical pion observables that suggest these quantities are materially underestimated in the quenched theory; |q̅ q| by a factor of 2 and fπ by 30%.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.68.015203
DOI:
10.1103/PhysRevC.68.015203
PACS:
12.38.Lg, 12.38.Gc, 12.38.Aw, 24.85.+p