The hermitian Wilson-Dirac operator in smooth SU(2) instanton backgrounds
نویسندگان
چکیده
منابع مشابه
Spectrum of the Hermitian Wilson Dirac operator
Recent results on the spectral properties of the Hermitian Wilson-Dirac operator are presented.
متن کاملOn the spectral flow of the hermitian Dirac–Wilson operator
The spectral flow of the hermitian Dirac–Wilson operator H(m) has been used to construct a lattice version of the index of the Dirac operator. We clarify some aspects of this construction by showing the following (in 4D): When the curvature of the lattice gauge field satisfies an approximate smoothness condition, crossings of the origin by eigenvalues of H(m) can only happen when m is close to ...
متن کاملComparing lattice Dirac operators in smooth instanton backgrounds
We compare the behavior of different lattice Dirac operators in gauge backgrounds which are lattice discretizations of a classical instanton. In particular we analyze the overlap Dirac operator, a chirally improved Dirac operator and the standard Wilson operator. We discuss the flow of real eigenvalues as a function of the instanton size. An analysis of the eigenvectors shows that, due to their...
متن کاملOn the Ginsparg-Wilson Dirac operator in the monopole backgrounds on the fuzzy 2-sphere
In the previous papers, we studied the ’t Hooft-Polyakov (TP) monopole configurations in the U(2) gauge theory on the fuzzy 2-sphere, and showed they have nonzero topological charge in the formalism based on the Ginsparg-Wilson (GW) relation. In this paper, we will show an index theorem in the TP monopole background, which is defined in the projected space, and provide a meaning of the projecti...
متن کاملSpectral properties of the non-hermitian Wilson-Dirac operator in the Schrödinger functional
We report on some preparatory investigations for the simulation of the QCD Schrödinger functional with a non-hermitian polynomial hybrid Monte Carlo algorithm. The complex spectrum of the non-hermitean free operator with SF boundary condititons is computed semianalytically. Then it is shown how one can obtain relevant information on the boundary of the spectral domain also in the presence of no...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1998
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(98)00270-3