Photon Propagation in Space-Time with a Compactified Spatial Dimension

The one-loop effects of vacuum polarization induced by untwisted fermions in QED in a nonsimply connected space-time with topology $S^{1}\times R^{3}$ are investigated. It is found that photon propagation in this system is anisotropic, appearing several massive photon modes and a superluminal transverse mode. For small compactification radius $a$, the superluminal velocity increases logarithmically with $a$. At low energies the photon masses lead to an effective confinement of the gauge fields into a (2+1)-dimensional manifold transverse to the compactified direction. The system shows a topologically induced directional superconductivity.Comment: 5 pages, to appear in PL

Superluminal Noncommutative Photons

With the help of the Seiberg-Witten map, one can obtain an effective action of a deformed QED from a noncommutative QED. Starting from the deformed QED, we investigate the propagation of photons in the background of electromagnetic field, up to the leading order of the noncommutativity parameter. In our setting (both the electric and magnetic fields are parallel to the coordinate axis $x^1$ and the nonvanishing component of the noncommutativity parameter is $\theta^{23}$), we find that the electric field has no effect on the propagation of photons, but the velocity of photons can be larger than the speed of light ($c=1$) when the propagating direction of photons is perpendicular to the direction of background magnetic field, while the light-cone condition does not change when the propagating direction is parallel to the background magnetic field. The causality associated with the superluminal photons is discussed briefly.Comment: Revtex, 11 pages, v3: corrected an estimation on page 7 of deviation from the speed of ligh

Föhn in the Rhine Valley during MAP: A review of its multiscale dynamics in complex valley geometry

This paper summarizes the findings of seven years of research on föhn conducted within the project Föhn in the Rhine Valley during MAP (FORM) of the Mesoscale Alpine Programme (MAP). It starts with a brief historical review of föhn research in the Alps, reaching back to the middle of the 19th century. Afterwards, it provides an overview of the experimental and numerical challenges identified before the MAP field experiment and summarizes the key findings made during MAP in observation, simulation and theory. We specifically address the role of the upstream and cross-Alpine flow structure on föhn at a local scale and the processes driving föhn propagation in the Rhine Valley. The crucial importance of interactions between the föhn and cold-air pools frequently filling the lower Rhine Valley is highlighted. In addition, the dynamics of a low-level flow splitting occurring at a valley bifurcation between the Rhine Valley and the Seez Valley are examined. The advances in numerical modelling and forecasting of föhn events in the Rhine Valley are also underlined. Finally, we discuss the main differences between föhn dynamics in the Rhine Valley area and in the Wipp/Inn Valley region and point out some open research questions needing further investigation. Copyright © 2007 Royal Meteorological Societ