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Physical nucleon properties from lattice QCD.

D B Leinweber1, A W Thomas, R D Young

  • 1Special Research Center for the Subatomic Structure of Matter and Department of Physics, University of Adelaide, Adelaide SA 5005, Australia.

Physical Review Letters
|July 13, 2004
PubMed
Summary

We analyzed lattice QCD data to determine the nucleon mass. Our robust chiral extrapolation method shows less than 1% error, improving understanding of quantum chromodynamics.

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Area of Science:

  • * Theoretical and Computational Physics
  • * Quantum Chromodynamics (QCD)

Background:

  • * The chiral expansion is a theoretical framework used to describe the low-energy behavior of quantum chromodynamics.
  • * Accurate determination of the nucleon mass from lattice QCD data is crucial for testing this framework.

Purpose of the Study:

  • * To investigate various resummations of the chiral expansion.
  • * To fit the nucleon mass using high-precision lattice QCD data.
  • * To assess the robustness and systematic error of chiral extrapolation methods.

Main Methods:

  • * Employed various resummation techniques for the chiral expansion.
  • * Utilized a variety of finite-range regulators.
  • * Fitted the nucleon mass to recent, highly accurate lattice QCD data from the CP-PACS collaboration.

Main Results:

  • * Demonstrated a remarkably robust chiral extrapolation for the nucleon mass.
  • * Quantified the systematic error associated with the chiral extrapolation process.
  • * Achieved a systematic error estimate of less than 1% for the chiral extrapolation of nucleon mass.

Conclusions:

  • * The employed methods provide a reliable method for extrapolating lattice QCD data to the physical point.
  • * The findings validate the effectiveness of the chiral expansion framework for describing nucleon properties.
  • * The low systematic error suggests high confidence in the determined nucleon mass values.

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