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Extrapolation of lattice QCD results beyond the power-counting regime

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arxiv hep-lat/0501028 v2 pith:HKNU5WUY submitted 2005-01-27 hep-lat

classification hep-lat
keywords chiralexpansionlatticeresultstechniquesbeyondextrapolationpower-counting
verification ladder T0 review T1 audit T2 compute T3 formal
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Resummation of the chiral expansion is necessary to make accurate contact with current lattice simulation results of full QCD. Resummation techniques including relativistic formulations of chiral effective field theory and finite-range regularization (FRR) techniques are reviewed, with an emphasis on using lattice simulation results to constrain the parameters of the chiral expansion. We illustrate how the chiral extrapolation problem has been solved and use FRR techniques to identify the power-counting regime (PCR) of chiral perturbation theory. To fourth-order in the expansion at the 1% tolerance level, we find 0 \le m_pi \le 0.18 GeV for the PCR, extending only a small distance beyond the physical pion mass.

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