This paper presents a simple framework that organizes thin-wall Coleman-De Luccia instantons based on the Euclidean geometries of their original and tunneled vacuum patches. We consider all priori allowed pairs (de Sitter or Anti-de for either patch, Minkowski can be obtained as limit either), $O(4)$-symmetric connecting them. For each candidate bounce geometry, condition under which solution t...

In this paper we introduce eight power indices that admit a probabilistic interpretation for voting rules with abstention or with three levels of approval in the input, briefly (3,2) games. We analyze the analogies and discrepancies between standard known indices for simple games and the proposed extensions for this more general context. A remarkable difference is that for (3,2) games the propo...

We investigate the cosmological signatures of instantons mediating tunneling between de Sitter minima. For generic potentials the Coleman-de Luccia instanton does not necessarily exist; when it does not, the instanton which contributes to the decay rate is the trivial constant solution, known as the Hawking-Moss instanton. With the aid of a toy model we interpret this solution and describe the ...

The phase transition in the Weinberg-Salam-Glashow (GSW) electroweak theory extended by the majoron and dilaton field is considered. The possibility of the boson condensation in the extreme conditions in the standard electroweak theory is shown. The first order phase transition induces by the radiative corrections (the Coleman-Weinberg potential) in the presence of matter was considered. Due to...