A weak, attractive, long-range force in Higgs condensates

Abstract

Due to the peculiar nature of the underlying medium, density fluctuations in a `Higgs condensate' are predicted to propagate for infinitely long wavelengths with a group velocity $c_s\to \infty$. On the other hand, for any large but finite $c_s$ there is a weak, attractive $1/r$ potential of strength $\frac{1}{c_s^2}$ and the energy spectrum deviates from the purely massive form \sqrt{p}^2 + M^2_h} at momenta smaller than $\delta \sim \frac{M_h}{c_s}$. Physically, the length scale ${\delta }^{-1}$ corresponds to the mean free-path for the elementary constituents in the condensate and would naturally be placed in the millimeter range.

Comments: 12 pages, LaTeX