DISCRETE SPECTRAL SHIFT IN AN ANISOTROPIC UNIVERSE

In this paper we calculate the particle creation as seen by a stationary observer in an anisotropic universe. By using an observer and geometry dependent time to quantize a massive scalar field we show that a discrete energy spectrum shift occurs. The length scale associated with the geometry provides the energy scale by which the spectrum is shifted. The β(p, q) coefficient for the Bogolubov transformation calculated is proportional to a series of delta functions whose argument contains p and q and half multiples of the root of the curvature.

BOSONIZATION FOR 2D INTERACTING FERMION SYSTEMS: NON-FERMI LIQUID BEHAVIOR

Non-Fermi liquid behavior is found for the first time in a two-dimensional (2D) system with nonsingular interactions using Haldane’s bosonization scheme. The bosonized system is solved exactly by a generalized Bogolubov transformation. The fermion momentum distribution, calculated using a generalized Mattis-Lieb technique, exhibits a nonuniversal power law in the vicinity of the Fermi surface for intermediate interaction strengths.