Finite-Temperature Instantons from First Principles
arXiv:2310.19865 · doi:10.1103/PhysRevD.110.L111902
Abstract
We derive the finite-temperature quantum-tunneling rate from first principles. The rate depends on both real- and imaginary-time; we demonstrate that the relevant instantons should therefore be defined on a Schwinger-Keldysh contour, and how the familiar Euclidean-time result arises from it in the limit of large physical times. We generalize previous results for general initial states, and identify distinct behavior in the high- and low-temperature limits, incorporating effects from background fields. We construct a consistent perturbative scheme that incorporates large finite-temperature effects.
7 pages, 6 figures. Current version matches the version published as a letter in Physical Review D
References in corpus (21)
- Scale Invariant Instantons and the Complete Lifetime of the Standard Model
- Precision decay rate calculations in quantum field theory
- On the gauge dependence of vacuum transitions at finite temperature
- Real-time Feynman path integral with Picard--Lefschetz theory and its applications to quantum tunneling
- On gravitational and thermal corrections to vacuum decay
- A Fresh Look at the Calculation of Tunneling Actions
- A direct approach to quantum tunneling
- Computing the gauge-invariant bubble nucleation rate in finite temperature effective field theory
- Functional methods for false vacuum decay in real time
- A Fresh Look at the Calculation of Tunneling Actions in Multi-Field Potentials
- False vacuum decay: an introductory review
- Vacuum Decay in Real Time and Imaginary Time Formalisms
- Tunneling Without Bounce
- A Fresh Look at the Calculation of Tunneling Actions including Gravitational Effects
- Quantum tunnelling, real-time dynamics and Picard-Lefschetz thimbles
- Higgs Criticality beyond the Standard Model
- Quantum tunneling from paths in complex time
- Vacuum decay in the Lorentzian path integral
- Gravity-improved metastability bounds for the Type-I Seesaw Mechanism
- Parametrized Path Approach to Vacuum Decay
- Tunneling Potential Actions from Canonical Transformations