phenomenon

false vacuum decay

Quantum process where a metastable vacuum state decays, potentially producing gravitational waves.
43 related articles · 3 formulas

Description

False vacuum decay is a quantum process in which a metastable state of a quantum field—the 'false vacuum'—transitions to a lower-energy 'true vacuum' state. This decay proceeds through the nucleation of bubbles of the true vacuum within the false vacuum, which then expand at speeds approaching the speed of light. In cosmology, this process is invoked to explain the early universe's dynamics, including the possibility of a first-order phase transition that could generate a stochastic background of gravitational waves.

History

The theory of false vacuum decay was developed by Sidney Coleman and Curtis Callan in the late 1970s, building on earlier work on metastable states in quantum field theory.

How it works

Quantum fields can exist in a local minimum of their potential energy that is not the global minimum—this is the false vacuum. Quantum fluctuations allow the field to tunnel through the energy barrier to the true vacuum, a process described by Coleman's theory of bubble nucleation. Once a bubble forms, it expands, converting false vacuum to true vacuum and releasing energy. If many bubbles nucleate and collide, they produce ripples in spacetime—gravitational waves.

In practice

In laboratory settings, false vacuum decay has been simulated using ultracold atomic systems, where quantum tunneling between metastable states can be observed and studied in detail.

Fun fact

The expansion of a true vacuum bubble is so violent that it would destroy everything in its path, making the ultimate fate of our universe potentially dependent on whether our vacuum is truly stable.

Concept graph →

Formulas

$$V(r) = -g \frac{e^{-r/\lambda}}{r}$$
Potential decaying exponentially with distance.
What is in the formula
VvariablePotential energy — potential energy joule
rvariableRadial distance from source — distance metre
gvariableCoupling strength (not a universal constant) joule metre
λvariableScreening length (range of interaction) — length metre
v_{pv}=\frac{g_ag_vħ}{4π}(\boldsymbol{σ}*{v})\frac{e^{-r/λ}}{r} · 2505.00483v1
\phi(r)=-\frac{gm}{r}e^{-r/λ} · 2607.11764
$$\psi(t) = A e^{-\omega_I t} \cos(\omega_R t - \phi)$$
A damped oscillation describes the decay of quasinormal modes.
What is in the formula
ψvariableperturbation amplitude — wave function
Avariableinitial amplitude — amplitude
ω_Ivariableimaginary part of frequency (decay rate) — decay rate per second
ω_Rvariablereal part of frequency (oscillation frequency) — angular frequency per second
φvariablephase offset — phase
\vartheta(\tilde{t}_o)=|a|\cos(ω_r\tilde{t}_o-\phi)e^{-ω_i\tilde{t}_o} · 2605.11499v1
$$\tau = \frac{1}{\lambda}$$
The lifetime is the reciprocal of the decay rate constant.
What is in the formula
\tauvariablelifetime — lifetime second
\lambdavariabledecay rate constant — decay rate per second
τ_{γ}=\frac{1}{λ_{γ}} · 2606.31185

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