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  • 标题:Determination of $F_{\pi}$ from distributions of Dirac operator eigenvalues with imaginary density
  • 本地全文:下载
  • 作者:G. Akemann
  • 期刊名称:PoS - Proceedings of Science
  • 印刷版ISSN:1824-8039
  • 出版年度:2007
  • 出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
  • 摘要:In the e -regime of lattice QCD one can get an accurate measurement of the pion decay constant Fp by monitoring how just one single Dirac operator eigenvalue splits into two when subjected to two different external vector sources. Because we choose imaginary chemical potentials our Dirac eigenvalues remain real. Based on the relevant chiral Random Two-Matrix Theory we derive individual eigenvalue distributions in terms of density correlations functions to leading order in the nite-volume e -expansion. As a simple byproduct we also show how the associated individual Dirac eigenvalue distributions and their correlations can be computed directly from the effective chiral Lagrangian.
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