ar X iv : m at h . L O / 0 61 23 66 v 1 13 D ec 2 00 6 O - minimal spectrum

ar X iv : h ep - p h / 03 12 27 6 v 1 1 9 D ec 2 00 3 The a 0 K + K − - vertex in light cone QCD sum rules

ar X iv : h ep - l at / 0 61 00 58 v 2 1 0 O ct 2 00 6 Progress in Kaon Physics on the Lattice

We review recent progress in calculating kaon spectrum, pseudoscalar meson decay constants, B K , ε ′ /ε, K → ππ matrix elements, kaon semileptonic form factors, and moments of kaon distribution amplitudes on the lattice. We also address the issue of how best to improve the staggered fermion formulation for the action and operators.

ar X iv : h ep - l at / 0 61 00 58 v 1 9 O ct 2 00 6 Progress in Kaon Physics on the Lattice

We review recent progress in calculating kaon spectrum, pseudoscalar meson decay constants, B K , ε ′ /ε, K → ππ matrix elements, kaon semileptonic form factors, and moments of kaon distribution amplitudes on the lattice. We also address the issue of how best to improve the staggered fermion formulation for the action and operators.

ar X iv : c on d - m at / 0 61 23 69 v 1 14 D ec 2 00 6 Hofstadter butterflies of bilayer graphene

We calculate the electronic spectrum of bilayer graphene in perpendicular magnetic fields nonperturbatively. To accomodate arbitrary displacements between the two layers, we apply a periodic gauge based on singular flux vortices of phase 2π. The resulting Hofstadter-like butterfly plots show a reduced symmetry, depending on the relative position of the two layers against each other. The split o...

ar X iv : m at h - ph / 0 60 70 40 v 1 2 0 Ju l 2 00 6 Invariant Form of BK - factorization and its Applications