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.