Bounds on the Wilson Dirac Operator
نویسنده
چکیده
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.
منابع مشابه
ar 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 کاملGeneral bounds on the Wilson-Dirac operator
Lower bounds on the magnitude of the spectrum of the Hermitian WilsonDirac 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−2 < m < 2p for general p = 1, 2, . . . , d where d is the spacetime dimension. The bounds can alternatively be viewed as localisation bounds on the ...
متن کاملar X iv : h ep - l at / 9 91 10 04 v 1 4 N ov 1 99 9 RUHN - 99 – 4 Bounds on
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 کاملLocality bound for effective four-dimensional action of domain-wall fermion
We discuss locality in the domain-wall QCD through the effective four-dimensional Dirac operator which is defined by the transfer matrix of the five-dimensional Wilson fermion. We first derive an integral representation for the effective operator, using the inverse five-dimensional Wilson-Dirac operator with the anti-periodic boundary condition in the fifth direction. Exponential bounds are obt...
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000