Spontaneous Breaking of Lepton Number and Cosmological Domain Wall Problem

Abstract

We show that if global lepton number symmetry is spontaneously broken in a post inflation epoch, then it can lead to the formation of cosmological domain walls. This happens in the well-known "Majoron paradigm" for neutrino mass generation. We propose some realistic examples which allow spontaneous lepton number breaking to be safe from such domain walls.

Comments: 8 pages, References added, Discussion on Domain Wall Problem Expanded, Conclusions Unchanged, Version Published in Phys. Rev. Lett