Real-Time Feynman Path Integral Realization of Instantons
arXiv:1408.0012
Abstract
In Euclidean path integrals, quantum mechanical tunneling amplitudes are associated with instanton configurations. We explain how tunneling amplitudes are encoded in real-time Feynman path integrals. The essential steps are borrowed from Picard-Lefschetz theory and resurgence theory.
v1, 5 pages, 2 figures. v2: typos fixed, references added
Cited by in corpus (16)
- An Introduction to Resurgence, Trans-Series and Alien Calculus
- Lefschetz-thimble analysis of the sign problem in one-site fermion model
- Structure of Lefschetz thimbles in simple fermionic systems
- Cheshire Cat resurgence, Self-resurgence and Quasi-Exact Solvable Systems
- Lefschetz-thimble techniques for path integral of zero-dimensional sigma models
- Functional methods for false vacuum decay in real time
- Black hole induced false vacuum decay: The role of greybody factors
- What is QFT? Resurgent trans-series, Lefschetz thimbles, and new exact saddles
- Quantum tunneling from paths in complex time
- Lorentzian path integral for quantum tunneling and WKB approximation for wave-function
- Generalised escape paths for dynamical tunneling in QFT
- Parametrized Path Approach to Vacuum Decay
- The Response Field and the Saddle Points of Quantum Mechanical Path Integrals
- Absence of violation in the strong interactions
- Real-time quantum dynamics, path integrals and the method of thimbles
- Supersymmetric Quantum Mechanics and Path Integrals