General bounds on the Wilson-Dirac operator
General bounds on the Wilson-Dirac operator
Lower bounds on the magnitude of the spectrum of the Hermitian Wilson-Dirac operator $H(m)$ have previously been derived for $0<m<2$ when the lattice gauge field satisfies a certain smoothness condition. In this paper lower bounds are derived for $2p\ensuremath{-}2<m<2p$ for general $p=1,2,\dots{},d$ where d is the spacetime dimension. The bounds …