Finite volume effects in a quenched lattice-QCD quark propagator
- 27 February 2006
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 73 (3), 034029
- https://doi.org/10.1103/physrevd.73.034029
Abstract
We investigate finite volume effects in the pattern of chiral symmetry breaking. To this end we employ a formulation of the Schwinger-Dyson equations on a torus which reproduces results from the corresponding lattice simulations of staggered quarks and from the overlap action. Studying the volume dependence of the quark propagator we find quantitative differences with the infinite volume result at small momenta and small quark masses. We estimate the minimal box length below which chiral perturbation theory cannot be applied to be . In the infinite volume limit we find a chiral condensate of , an up/down quark mass of and a pion decay constant which is only 10% smaller than the experimental value.
Keywords
Other Versions
This publication has 56 references indexed in Scilit:
- Finite volume effects for meson masses and decay constantsNuclear Physics B, 2005
- Towards the infrared limit inLandau gauge lattice gluodynamicsPhysical Review D, 2005
- An introduction to chiral symmetry on the latticeProgress in Particle and Nuclear Physics, 2004
- Unquenched gluon propagator in Landau gaugePhysical Review D, 2004
- Nucleon mass, sigma term, and lattice QCDPhysical Review D, 2004
- Dyson–Schwinger Equations: A Tool for Hadron PhysicsInternational Journal of Modern Physics E, 2003
- Lattice quark propagator with staggered quarks in Landau and Laplacian gaugesPhysical Review D, 2002
- The infrared behaviour of QCD Green's functions Confinement, dynamical symmetry breaking, and hadrons as relativistic bound statesPhysics Reports, 2001
- Chiral Extrapolation of Lattice Moments of Proton Quark DistributionsPhysical Review Letters, 2001
- Spontaneously broken symmetries: Effective lagrangians at finite volumeNuclear Physics B, 1988