Power counting regime of chiral effective field theory and beyond
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(Published version)
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2010
Authors
Hall, J.
Leinweber, D.
Young, R.
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Journal article
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Physical Review D: Particles, Fields, Gravitation and Cosmology, 2010; 82(3):1-19
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J. M. M. Hall, R. D. Young and D. B. Leinweber
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Abstract
Chiral effective field theory (χEFT) complements numerical simulations of quantum chromodynamics (QCD) on a space-time lattice. It provides a model-independent formalism for connecting lattice simulation results at finite volume and a variety of quark masses to the physical world. The asymptotic nature of the chiral expansion places the focus on the first few terms of the expansion. Thus, knowledge of the power-counting regime (PCR) of χEFT, where higher-order terms of the expansion may be regarded as negligible, is as important as knowledge of the expansion itself. Through the consideration of a variety of renormalization schemes and associated parameters, techniques to identify the PCR where results are independent of the renormalization scheme are established. The nucleon mass is considered as a benchmark for illustrating this general approach. Because the PCR is small, the numerical simulation results are also examined to search for the possible presence of an intrinsic scale which may be used in a nonperturbative manner to describe lattice simulation results outside of the PCR. Positive results that improve on the current optimistic application of chiral perturbation theory (χPT) beyond the PCR are reported.
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©2010 American Physical Society