Convergence of chiral effective field theory

Details Convergence of chiral effective field theory Convergence of chiral effective field theory

2002-12-18

arxiv.org/abs/hep-lat/0212031v1

Prog.Part.Nucl.Phys.50:399-417,2003

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, 13 figures; To appear in Progress in Particle and Nuclear Physics; presented at Erice School on Quarks in Hadrons an

Scientific paper

10.1016/S0146-6410(03)00034-6

We formulate the expansion for the mass of the nucleon as a function of pion mass within chiral perturbation theory using a number of different ultra-violet regularisation schemes; including dimensional regularisation and various finite-ranged regulators. Leading and next-to-leading order non-analytic contributions are included through the standard one-loop Feynman graphs. In addition to the physical nucleon mass, the expansion is constrained by recent, extremely accurate, lattice QCD data obtained with two flavors of dynamical quarks. The extent to which different regulators can describe the chiral expansion is examined, while varying the range of quark mass over which the expansions are matched. Renormalised chiral expansion parameters are recovered from each regularisation prescription and compared. We find that the finite-range regulators produce consistent, model-independent results over a wide range of quark mass sufficient to solve the chiral extrapolation problem in lattice QCD.

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