Decay amplitudes in two-dimensional QCD

Decay amplitudes for mesons in two-dimensional QCD are discussed. We show that in spite of an infinite number of conserved charges, particle production is not entirely suppressed. This phenomenon is explained in terms of quantum corrections to the combined algebra of higher-conserved and spectrum-generating currents. We predict the qualitative form of particle production probabilities and verify that they are in agreement with numerical data. We also discuss four-dimensional self-dual Yang-Mills theory in the light of our results.Comment: We discuss in more detail the background material and elaborate on the consequences of the new results. New equations and text are added and the figures are efficiently regenerated by a fortran program, latex file, 13 pages, 4 figures in encapsulated postscript files, uses epsf. minor changes, version to appear in Physical Review

Gravitational instabilities and faster evolving density perturbations

The evolution of inhomogeneities in a spherical collapse model is studied by expanding the Einstein equation in powers of inverse radial parameter. In the linear regime, the density contrast is obtained for flat, closed and open universes. In addition to the usual modes, an infinite number of new growing modes are contained in the solutions for pressureless open and closed universes. In the nonlinear regime, we obtain the leading growing modes in closed forms for a flat universe and also, in the limits of small and large times, for an open universe.Comment: latex, 17 pages; electronic address for programs correcte

Scalar field perturbations of the Schwarzschild black hole in the G\"{o}del Universe

We investigate the scalar field perturbations of the 4+1-dimensional Schwarzschild black hole immersed in a G\"{o}del Universe, described by the Gimon-Hashimoto solution.This may model the influence of the possible rotation of the Universe upon the radiative processes near a black hole. In the regime when the scale parameter $j$ of the G\"{o}del background is small, the oscillation frequency is linearly decreasing with $j$, while the damping time is increasing. The quasinormal modes are damping, implying stability of the Schwarzschild-G\"{o}del space-time against scalar field perturbations. The approximate analytical formula for large multipole numbers is found.Comment: 13 pages, 4 figures, 1 table, misprints corrected, to be published in Phys.Rev.

Holographic Superconductors in a Rotating Spacetime

We consider holographic superconductors in a rotating black string spacetime. In view of the mandatory introduction of the $A_\varphi$ component of the vector potential we are left with three equations to be solved. Their solutions show that the effect of the rotating parameter $a$ influences the critical temperature $T_c$ and the conductivity $\sigma$ in a simple but not trivial way.Comment: 9 pages, 5 figures, paper completely rewritten and improved. Version to appear in EPJ

A Field Theory Model for Dark Matter and Dark Energy in Interaction

We propose a field theory model for dark energy and dark matter in interaction. Comparing the classical solutions of the field equations with the observations of the CMB shift parameter, BAO, lookback time and Gold supernovae sample, we observe a possible interaction between dark sectors with energy decay from dark energy into dark matter. The observed interaction provides an alleviation to the coincidence problem.Comment: 15 pages, 9 figures; references added; new conclusions drawn from new figures and computation