Title: Finite-temperature instantons from first principles

Journal Article · · Physical Review. D.

We derive the finite-temperature quantum-tunneling rate from first principles. The tunneling rate depends on both temperature and time. We demonstrate that the relevant instantons should, therefore, be defined on a Keldysh-Schwinger contour, and we discuss how the familiar Euclidean time result arises from the limit of large physical times. We 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. Published by the American Physical Society 2024

Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0012567
OSTI ID:
2484072
Journal Information:
Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 11 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (44)

On the gauge dependence of vacuum transitions at finite temperature journal July 2012
Computing the gauge-invariant bubble nucleation rate in finite temperature effective field theory journal July 2022
Bubble nucleation to all orders journal August 2022
On gravitational and thermal corrections to vacuum decay journal September 2016
A new picture of quantum tunneling in the real-time path integral from Lefschetz thimble calculations journal September 2023
Gravity-improved metastability bounds for the Type-I seesaw mechanism journal September 2023
Quantum tunnelling, real-time dynamics and Picard-Lefschetz thimbles journal November 2019
Black hole induced false vacuum decay from first principles journal November 2021
Functional methods for false-vacuum decay in real time journal December 2019
Theory of the condensation point journal January 1967
Statistical theory of the decay of metastable states journal September 1969
Fate of the false vacuum at finite temperature: Theory and applications journal March 1981
Decay of the false vacuum at finite temperature journal August 1983
Decay of the false vacuum at finite temperature journal May 1983
Aspects of the cosmological electroweak phase transition journal July 1994
Generic rules for high temperature dimensional reduction and their application to the standard model journal January 1996
Real-time Feynman path integral with Picard–Lefschetz theory and its applications to quantum tunneling journal December 2014
False vacuum decay: an introductory review journal August 2022
A fresh look at the calculation of tunneling actions journal July 2018
A fresh look at the calculation of tunneling actions in multi-field potentials journal January 2019
Vacuum decay in the Lorentzian path integral journal May 2022
Tunneling potential actions from canonical transformations journal February 2023
Analytic continuation of Chern-Simons theory book January 2010
Vacuum decay in real time and imaginary time formalisms journal July 2019
Fresh look at the calculation of tunneling actions including gravitational effects journal November 2019
Tunneling without bounce journal November 2019
Parametrized path approach to vacuum decay journal February 2020
Gauge hierarchy from electroweak vacuum metastability journal March 2022
Higgs potential criticality beyond the Standard Model journal November 2023
Fate of the false vacuum: Semiclassical theory journal May 1977
Erratum: Fate of the false vacuum: semiclassical theory journal August 1977
Fate of the false vacuum. II. First quantum corrections journal September 1977
Effective potential at finite temperature in the standard model journal April 1992
Effective action at finite temperature journal August 1992
Nonperturbative evaluation of the diffusion rate in field theory at high temperatures journal April 1993
Evaluation of thermal corrections to false vacuum decay rates journal August 1993
Real-time analysis of thermal activation via sphaleron transitions journal December 1993
Quantum tunneling from paths in complex time journal September 2016
Precision decay rate calculations in quantum field theory journal April 2017
Scale-invariant instantons and the complete lifetime of the standard model journal March 2018
Direct Approach to Quantum Tunneling journal November 2016
Nucleation at Finite Temperature: A Gauge-Invariant Perturbative Framework journal June 2023
What is QFT? Resurgent trans-series, Lefschetz thimbles, and new exact saddles conference July 2016
New perspectives on solitons and instantons in the Standard Model and beyond dissertation January 2022