Dirac spectrum of the Wilson-Dirac operator for QCD with two colors

作者：Kieburg Mario^*; Verbaarschot Jacobus J M; Zafeiropoulos Savvas

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2015, 92(4): 045026.

DOI：10.1103/PhysRevD.92.045026

We study the lattice artifacts of the Wilson-Dirac operator for QCD with two colors and fermions in the fundamental representation from the viewpoint of chiral perturbation theory. These effects are studied with the help of the following spectral observables: the level density of the Hermitian Wilson-Dirac operator, the distribution of chirality over the real eigenvalues, and the chiral condensate for the quenched as well as for the unquenched theory. We provide analytical expressions for all these quantities. Moreover we derive constraints for the level density of the real eigenvalues of the non-Hermitian Wilson-Dirac operator and the number of additional real modes. The latter is a good measure for the strength of lattice artifacts. All computations are confirmed by Monte Carlo simulations of the corresponding random matrix theory which agrees with chiral perturbation theory of two color QCD with Wilson fermions.

• 出版日期2015-8-21