The pion-pion Interaction in the rho Channel in Finite Volume

Details The pion-pion Interaction in the rho Channel in Finite Volume The pion-pion Interaction in the rho Channel in Finite Volume

2012-02-13

arxiv.org/abs/1202.2787v2

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, 12 figures, 1 table, new comments and references added

Scientific paper

We evaluate the levels of the pi-pi system in the rho channel in finite volume. We investigate the dependence on the pion mass and compare with other approaches which use QCD lattice calculations and effective theories. We also illustrate the errors induced by using the conventional Luscher approach instead of a more accurate one recently developed that takes into account exactly the relativistic two meson propagators. Finally we make use of this latter approach to solve the inverse problem, getting pi-pi phase shifts from "synthetic" lattice data and show which accuracy is needed in these data to obtain the $\rho$ properties with a desired accuracy.

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