On diophantine approximations in a field ofp-adic numbers

Abstract

New experiments are reported which investigate the field dependence and anisotropy of the Hall coefficient and magnetoresistivity in single crystals of potassium. These experiments shed light on whether the electronic ground state of potassium is a charge density wave (CDW). They comprise the first independent test of the high field structure in the orientation dependence of the magnetoresistance observed by Coulter and Datars using an induced torque experiment. At similar levels of sensitivity we find no evidence of open orbits in potassium. This result casts doubt on the CDW hypothesis.

QCD sum rules and models for generalized parton distributions

“…In fact, as already mentioned, the local duality prediction (25) is in excellent agreement with the results of recent JLab data. In the nucleon case, the local duality calculation of G p M (Q 2 ) performed in [26,41] agrees with the data up to Q 2 ∼ 20 GeV 2 (see also [42], where the curve based on [26,41] is compared with the results of other approaches). The ratio F p 2 (Q 2 )/F p 1 (Q 2 ) as calculated in the local duality model agrees with the data based on Rosenbluth separation [43], though at the highest Q 2 it is somewhat lower than the results of the polarization transfer experiments [44].…”