Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-12-19
Phys.Rev. D73 (2006) 034029
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages, 8 figures. v2: minor clarifications added, version published in PRD
Scientific paper
10.1103/PhysRevD.73.034029
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 L below which chiral perturbation theory cannot be applied to be L \simeq 1.6 fm. In the infinite volume limit we find a chiral condensate of |<\bar{q}q>|_{\bar{MS}}^{2 GeV} = (253 \pm 5.0 MeV)^3, an up/down quark mass of m_{\bar{MS}}^{2 GeV} = 4.1 \pm 0.3 MeV and a pion decay constant which is only ten percent smaller than the experimental value.
Fischer Christian S.
Pennington M. R.
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