Inflation, phase transitions and the cosmological constant

Cosmological phase transitions are thought to have taken place at the early Universe imprinting their properties on the observable Universe. There is strong evidence that, through the dynamics of a scalar field that lead a second order phase transition, inflation shaped the Universe accounting for the most conspicuous features of the observed Universe. It is shown that inflation has also striking implications for the vacuum energy. Considerations for subsequent second order phase transitions are also discussed.