Eigenmodes of the Dirac operator and chiral properties of QCD with sea quarks

Authors
Citation
Xq. Luo, Eigenmodes of the Dirac operator and chiral properties of QCD with sea quarks, NUCL PH B-P, 73, 1999, pp. 614-616
Citations number
8
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
ISSN journal
09205632 → ACNP
Volume
73
Year of publication
1999
Pages
614 - 616
Database
ISI
SICI code
0920-5632(199903)73:<614:EOTDOA>2.0.ZU;2-Q
Abstract
I describe a mechanism to understand the relation between chiral-symmetry b reaking and eigenmodes of the Dirac operator in lattice QCD with Kogut-Suss kind sea quarks. It can be shown that if chiral symmetry is spontaneously b roken, the eigenvalues lambda, should behave as z(i)/V for large volume V, where z(i) is the i-th zero of the Bessel function. With neither chiral nor lambda extrapolation, one can precisely calculate the chiral condensate us ing only a small set of eigenvalues. Therefore, it is economical and free o f systematic uncertainties. I present the first QCD data to support this me chanism and encourage the lattice community to test and use it.