Working with a pion mass mπ ≈ 150 MeV, we study ππ and Kπ scattering using two flavours of non-perturbatively improved Wilson fermions at a lattice spacing a ≈ 0.071 fm. Employing two lattice volumes with linear spatial extents of Ns = 48 and Ns = 64 points and moving frames, we extract the phase shifts for p-wave ππ and Kπ scattering near the ρ and K∗ resonances. Comparing our results to those...

We completely classify constant mean curvature hypersurfaces (CMC) with constant δ-invariant in the unit 4-sphere S 4 and in the Euclidean 4-space E 4 .

Under the extra assumption that the boundary is of class C this was proven by S. Nakajima (= A. Matsumura) in 1926 Theorem 1 solves this problem. For convex bodies with C boundaries and positive curvature Nakajima’s result was generalized by Chakerian [?] in 1967 to “relative geometry” where the width and brightness are measured with with respect to some convex body K0 symmetric about the origi...

We start with a brief account of the latest analysis of the Oklo phenomenon providing the still most stringent constraint on time-variability of the fine-structure constant α. Comparing this with the recent result from the measurement of distant QSO’s appears to indicate a non-uniform time-dependence, which we argue to be related to another recent finding of the accelerating universe. This view...

Boolean functions that have constant-degree polynomial representation over a fixed finite ring form a natural and strict subclass of the complexity class ACC. They are also precisely the functions computable efficiently by programs over fixed and finite nilpotent groups. This class is not known to be learnable in any reasonable learning model. In this paper, we provide a deterministic polynomia...

A variationally optimized perturbation, combined with renormalization group properties, can give approximations to certain nonperturbative quantities like the chiral symmetry breaking order parameters. We evaluate, up to third order in this modified perturbation, F π /Λ MS , where F π is the pion decay constant and Λ MS the basic QCD scale in the MS scheme. We obtain Λ

Einstein’s field equations with cosmological constant are analysed for a static, spherically symmetric perfect fluid having constant density. Five new global solutions are described. One of these solutions has the Nariai solution joined on as an exterior field. Another solution describes a decreasing pressure model with exterior Schwarzschild-de Sitter spacetime having decreasing group orbits a...