# Parametrized path approach to vacuum decay

@article{Michel2019ParametrizedPA, title={Parametrized path approach to vacuum decay}, author={Florent Michel}, journal={Physical Review D}, year={2019} }

We develop a new real-time approach to vacuum decay based on a reduction to a finite number of degrees of freedom. The dynamics is followed by solving a generalized Schrodinger equation. We first apply this method to a real scalar field in Minkowski space and compare the decay rate with that obtained by the instanton approach. The main difference is in the early time dynamics, where the decay is faster due to the tail of the wave function. We then apply it to a cold atom model recently proposed…

## 3 Citations

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## References

SHOWING 1-10 OF 57 REFERENCES

### New Semiclassical Picture of Vacuum Decay.

- PhysicsPhysical review letters
- 2019

Using lattice simulations, a new picture of vacuum decay is introduced which, in contrast to existing semiclassical techniques, provides a real-time description and does not rely on classically forbidden tunneling paths.

### Functional methods for false-vacuum decay in real time

- PhysicsJournal of High Energy Physics
- 2019

Abstract
We present the calculation of the Feynman path integral in real time for tunneling in quantum mechanics and field theory, including the first quantum corrections. For this purpose, we use…

### Generalized escape paths for dynamical tunneling in QFT

- PhysicsPhysical Review D
- 2019

We present a formalism based on the functional Schrodinger equation to analyse time-dependent tunneling in quantum field theory at the semi-classical level. The full problem is reduced step by step…

### The Fate of the False Vacuum. 1. Semiclassical Theory

- Physics
- 1977

It is possible for a classical field theory to have two homogeneous stable equilibrium states with different energy densities. In the quantum version of the theory, the state of higher energy density…

### Real-time quantum dynamics, path integrals and the method of thimbles

- PhysicsJournal of High Energy Physics
- 2019

A bstractDirect numerical evaluation of the real-time path integral has a well-known sign problem that makes convergence exponentially slow. One promising remedy is to use Picard-Lefschetz theory to…

### The universe on a table top: engineering quantum decay of a relativistic scalar field from a metastable vacuum

- Physics
- 2016

The quantum decay of a relativistic scalar field from a metastable state (‘false vacuum decay’) is a fundamental idea in quantum field theory and cosmology. This occurs via local formation of bubbles…

### On quantum tunneling in real time

- Physics
- 2014

A detailed real time description of quantum tunneling in the semiclassical limit is given, using complex classical trajectories. This picture connects naturally with the ideas of post-selection and…

### WKB wave function for systems with many degrees of freedom: A unified view of solitons and pseudoparticles

- Physics
- 1977

The WKB method for systems with many degrees of freedom is developed. Using a given imaginary-time (Euclidean) classical solution of the equations of motion, we explicitly construct the WKB wave…