Chiral effective field theory beyond the power-counting regime

Details Chiral effective field theory beyond the power-counting regime Chiral effective field theory beyond the power-counting regime

2011-02-18

arxiv.org/abs/1102.3735v3

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 4 figures, conference

Scientific paper

Novel techniques are presented, which identify the chiral power-counting regime (PCR), and realize the existence of an intrinsic energy scale embedded in lattice QCD results that extend outside the PCR. The nucleon mass is considered as a benchmark for illustrating this new approach. Using finite-range regularization, an optimal regularization scale can be extracted from lattice simulation results by analyzing the renormalization of the low energy coefficients. The optimal scale allows a description of lattice simulation results that extend beyond the PCR by quantifying and thus handling any scheme-dependence. Preliminary results for the nucleon magnetic moment are also examined, and a consistent optimal regularization scale is obtained. This indicates the existence of an intrinsic scale corresponding to the finite size of the source of the pion cloud.

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