The index bundle of the Overlap lattice Dirac operator over the orbit space of lattice gauge fields is introduced and studied. Obstructions to the vanishing of gauge anomalies in the Overlap formulation of lattice chiral gauge theory have a natural description in this context. Our main result is a formula for the topological charge (Pontryargin number) of the index bundle over evendimensional s...

The index bundle of the Overlap lattice Dirac operator over the orbit space of lattice gauge fields is introduced and studied. Obstructions to the vanishing of gauge anomalies in the Overlap formulation of lattice chiral gauge theory have a natural description in this context. Our main result is a formula for the topological charge (integrated Chern character) of the index bundle over evendimen...

The index bundle of the Overlap lattice Dirac operator over the orbit space of lattice gauge fields is introduced and studied. Obstructions to the vanishing of gauge anomalies in the Overlap formulation of lattice chiral gauge theory have a natural description in this context. Our main result is a formula for the topological charge (Pontryargin number) of the index bundle over evendimensional s...

BACKGROUND Data on dietary intake and physical activity has been collected from a representative sample of the Danish population from 2003-2008. OBJECTIVES The aim of the present study was to describe the habitual diet in Denmark and to evaluate the overall diet quality using a diet quality index based on the National Food-Based Dietary Guidelines (FBDG), which consists of seven guidelines re...

Background: Diet plays a crucial role in the regulation of chronic inflammation. The sparse evidence available in adult populations indicates that diet quality is linked to the dietary inflammatory potential; however, this association has not been established in youth. Design: Data were obtained from a representative national sample of 2889 children and young people in Spain, aged 6-24 years. T...

We examine quenched chiral logarithms in lattice QCD with overlap Dirac quarks. From our data of m π , we determine the coefficient of quenched chiral logarithm δ = 0.203(14), 0.176(17), 0.193(17) and 0.200(13) for lattices of sizes 8 × 24, 10 × 24, 12 × 24 and 16 × 32 respectively. Also, for the first three lattice sizes, we measure the index susceptibility of the overlap Dirac operator, and u...

The sensitivities of resonant wavelengths of photonic crystal (PhC) membrane nanocavities with embedded InAs quantum dots to the ambient refractive index are reported for use in (bio) chemical sensing. The resonances for the different modes of several point-defect type cavities are obtained by photoluminescence measurements. Systematic trends of the variation of sensitivity with increase of the...