Volume behaviour of quark condensate, pion mass and decay constant from Dyson-Schwinger equations

Details Volume behaviour of quark condensate, pion mass and decay constant from Dyson-Schwinger equations Volume behaviour of quark condensate, pion mass and decay constant from Dyson-Schwinger equations

2009-12-18

arxiv.org/abs/0912.3686v2

Phys.Rev.D81:094005,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 9 figures, v2: minor clarifications, version accepted by PRD

Scientific paper

10.1103/PhysRevD.81.094005

We solve the coupled system of Dyson-Schwinger and Bethe-Salpeter equations for the quark propagator and the pion Bethe-Salpeter amplitude on a finite volume. To this end we use a truncation scheme that includes pion cloud effects in the quark propagator and light mesons. We study volume effects in the quark condensate, the pion mass and the pion decay constant and compare to corresponding results in other approaches. In general we find large effects for volumes below V=(1.8 fm)^4.

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