The geodesic rule and the spectrum of the vacuum

Abstract

We analyze the consequences of a recent argument justifying the validity of the "geodesic rule" which can be used to determine the density of global topological defects. We derive a formula that provides a rough estimate of the number of string-like defects formed in a phase transition. We apply this formula to vacua which are spheres. We provide some reasons for the deviation of our predictions from the corresponding accepted values.

11 pages. Accepted by Mod. Phys. Lett. A

References in corpus (1)

• A stochastic derivation of the geodesic rule

Cited by in corpus (1)

• The geodesic rule for higher codimensional global defects