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 latt...

Let Γ be an additive group. For S ⊆ Γ, 0 6∈ S and S = {−s : s ∈ S} = S, the Cayley graph G = C(Γ, S) is the undirected graph having vertex set V (G) = Γ and edge set E(G) = {(a, b) : a − b ∈ S}. The Cayley graph G = C(Γ, S) is regular of degree |S|. For a positive integer n > 1, the unitary Cayley graph Xn = C(Zn,Z∗n) is defined by the additive group of the ring Zn of integers modulo n and the ...

Van Glabbeek (1990) presented the linear time – branching time spectrum of behavioral semantics. He studied these semantics in the setting of the basic process algebra BCCSP, and gave finite, sound and ground-complete, axiomatizations for most of these semantics. Groote (1990) proved for some of van Glabbeek’s axiomatizations that they are ω-complete, meaning that an equation can be derived if ...

A combination of Car-Parrinello molecular dynamics (CP-MD) and high-level ab initio quantum chemical calculations has been used to calculate the electronic absorption spectrum of formamide at finite temperatures. Thermally broadened spectra have been obtained by averaging over a large number of single-point multireference configuration interaction excitation energies calculated for geometries s...

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...

We compute the spatial-volume dependence of the spectrum of 4D SU(3 ≤ N ≤ 6) gauge theories by lattice Monte-Carlo techniques. Setting the scale with the string tension, the spatial volume is L3 with 0.78fm ≤ L ≤ 2.3fm. The Euclidean ‘time’ direction is kept large enough to be considered infinite and the boundary conditions are periodic in all four dimensions. We study the mixing of torelon pai...