Finite-Volume Scaling of the Wilson-Dirac Operator Spectrum
نویسنده
چکیده
The microscopic spectral density of the Hermitian Wilson-Dirac operator is computed numerically in quenched lattice QCD. We demonstrate that the results given for fixed index of the WilsonDirac operator can be matched by the predictions from Wilson chiral perturbation theory. We test successfully the finite volume and the mass scaling predicted by Wilson chiral perturbation theory at fixed lattice spacing.
منابع مشابه
A comprehensive picture of topological excitations in finite temperature lattice QCD
We study spectra, localization properties and local chirality of eigenvectors of the lattice Dirac operator. We analyze ensembles of quenched SU(3) configurations on both sides of the QCD phase transition. Our Dirac operator is a systematic expansion in path length of a solution of the Ginsparg-Wilson equation. Analyzing the finite volume behavior of our observables and their scaling with the g...
متن کاملMicroscopic Spectrum of the QCD Dirac Operator in Three Dimensions
The microscopic spectral correlators of the Dirac operator in three-dimensional Yang-Mills theory coupled to fundamental fermions and with three or more colours are derived from the supersymmetric formulation of partially quenched effective Lagrangians. The flavour supersymmetry breaking patterns are appropriately identified and used to calculate the corresponding finite volume partition functi...
متن کاملSpectrum of the Dirac Operator coupled to two - dimensional quantum gravity
We implement fermions on dynamical random triangulation and determine numerically the spectrum of the Dirac-Wilson operator D for the system of Majorana fermions coupled to two-dimensional Euclidean quantum gravity. We study the dependence of the spectrum of the operator ǫD on the hopping parameter. We find that the distributions of the lowest eigenvalues become discrete when the hopping parame...
متن کاملThe QCD Dirac Operator Spectrum and Finite-Volume Scaling
The succesful analytical computations of the so-called microscopic QCD Dirac operator spectrum from random matrix theory [1–3] have raised an important question. Why can random matrix theory, which seems to be very far from the quantum field theory of QCD, apparently be used to compute spectral properties of the Dirac operator? Within the last year this issue has been much clarified, with impor...
متن کاملOverlap Dirac Operator, Eigenvalues and Random Matrix Theory
An important property of massless QCD is the spontaneous breaking of chiral symmetry. The associated Goldstone pions dominate the low-energy, finite-volume scaling behavior of the Dirac operator spectrum in the microscopic regime, 1/ΛQCD << L << 1/mπ, with L the length of the system [1]. This behavior can be characterized by chiral random matrix theory (RMT). The RMT description of the lowenerg...
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 2012