Properties of the false vacuum as the quantum unstable state

Understand

We analyze properties of unstable vacuum states from the point of view of the quantum theory.

• In the literature one can find some suggestions that some of false (unstable) vacuum states may survive up to times when their survival probability has a non-exponential form.
• At asymptotically late times the survival probability as a function of time $t$ has an inverse power--like form.
• We show that at this time region the energy of the false vacuum states tends to the energy of the true vacuum state as $1/t^{2}$ for $t \to \infty$.