Spectrum of the Hermitian Wilson Dirac operator
نویسنده
چکیده
Recent results on the spectral properties of the Hermitian Wilson-Dirac operator are presented.
منابع مشابه
A Numerical Study of Spectral Flows of Hermitian Wilson-Dirac Operator and The Index Theorem in Abelian Gauge Theories on Finite Lattices
We investigate the index of the Neuberger’s Dirac operator in abelian gauge theories on finite lattices by numerically analyzing the spectrum of the hermitian Wilson-Dirac operator for a continuous family of gauge fields connecting different topological sectors. By clarifying the characteristic structure of the spectrum leading to the index theorem we show that the index coincides to the topolo...
متن کاملAnalyzing the spectrum of general, non-hermitian Dirac operators
We discuss the computational problems when analyzing general, non-hermitian matrices and in particular the un-modified Wilson lattice Dirac operator. We report on our experiences with the Implicitly Restarted Arnoldi Method. The eigenstates of the Wilson-Dirac operator which have real eigenvalues and correspond to zero modes in the continuum are analyzed by correlating the size of the eigenvalu...
متن کاملNon-Hermitian Polynomial Hybrid Monte Carlo
In this thesis algorithmic improvements and variants for two-flavor lattice QCD simulations with dynamical fermions are studied using the O(a) improved Dirac-Wilson operator in the Schrödinger functional setup and employing a hybrid Monte Carlo-type (HMC) update. Both, the Hermitian and the Non-Hermitian operator are considered. For the Hermitian Dirac-Wilson operator we investigate the advanta...
متن کاملBounds on the Wilson Dirac Operator
New exact upper and lower bounds are derived on the spectrum of the square of the hermitian Wilson Dirac operator. It is hoped that the derivations and the results will be of help in the search for ways to reduce the cost of simulations using the overlap Dirac operator.
متن کاملar X iv : h ep - l at / 9 91 10 04 v 2 3 J an 2 00 0 RUHN - 99 – 4 Bounds on the Wilson Dirac Operator
New exact upper and lower bounds are derived on the spectrum of the square of the hermitian Wilson Dirac operator. It is hoped that the derivations and the results will be of help in the search for ways to reduce the cost of simulations using the overlap Dirac operator. The bounds also apply to the Wilson Dirac operator in odd dimensions and are therefore relevant to domain wall fermions as well.
متن کامل