We relate the stability criteria of Boucher for a scalar field coupled to gravity to the semi-classical tunnelling calculations of Coleman and DeLuccia. This enables us to prove that the Boucher conditions imply both stability when they are satisfied and instability when they are not. In addition, it provides physical insight into the nature of the Boucher conditions and indicates that the O(4)-invariant, thin-wall approximation used in semi-classical tunnelling computations is reliable.
ASJC Scopus subject areas
- Nuclear and High Energy Physics