Improved staggered eigenvalues and epsilon regime universality in SU(2)

Details Improved staggered eigenvalues and epsilon regime universality in SU(2) Improved staggered eigenvalues and epsilon regime universality in SU(2)

Dec 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006slft.confe..51h&link_type=abstract

Proceedings of the XXIVth International Symposium on Lattice Field Theory. July 23-28, 2006, Tucson, Arizona., p.51.1

Physics

Scientific paper

We study the low-lying modes of staggered Dirac operators for quenched SU(2) and show that improvement changes the distribution from lattice-like to continuum-like at lattice spacings rep- resentative of current dynamical SU(3) simulations. Epsilon regime universality predicts different distributions for the low-lying eigenvalues of the continuum and lattice staggered Dirac operators. At lattice spacings around 0.07 fm we show that improved staggered eigenvalues have the continuum distribution (as predicted by the chiral Orthogonal Ensemble of random matrices), whilst unimproved fall on the discrete distribution (as per the chiral Symplectic Ensemble). The crossover is much more rapid than for SU(3). In addition, improved staggered fermions give a good approximation to the Atiyah-Singer index theorem, appear to satisfy the Banks-Casher relation and show clear taste-degeneracy for the non- zero modes. All this indicates that taste-changing interactions are well under control at lattice spacings 0.07 - 0.13 fm, matching our findings for SU(3).

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