出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：We consider the spectrum of the staggered Dirac operator with SU(2) gauge fields. Our study is
motivated by the fact that the antiunitary symmetries of this operator are different from those of
the SU(2) continuum Dirac operator. In this contribution, we investigate in some detail staggered
eigenvalue spectra close to the free limit. Numerical experiments in the quenched approximation
and at very large b -values show that the eigenvalues occur in clusters consisting of eight
eigenvalues each. We can predict the locations of these clusters for a given configuration very accurately
by an analytical formula involving Polyakov loops and boundary conditions. The spacing
distribution of the eigenvalues within the clusters agrees with the chiral symplectic ensemble of
random matrix theory, in agreement with theoretical expectations, whereas the spacing distribution
between the clusters tends towards Poisson behavior.
