Existence of real time quantum path integrals

DOI10.1016/j.aop.2023.169315zbMath1523.81119arXiv2207.12798OpenAlexW4366526248MaRDI QIDQ6155894

Neil Turok, Job Feldbrugge

Publication date: 7 June 2023

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.12798

zbMATH Keywords

functional integrationreal time path integralPicard-Lefschetz theory interference

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Path integrals in quantum mechanics (81S40) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Coherent states (81R30) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

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Cites Work

• Real-time Feynman path integral with Picard-Lefschetz theory and its applications to quantum tunneling
• Corrected Bohr-Sommerfeld quantum conditions for nonseparable systems
• Quantum effects near a barrier maximum
• The functional integral for quantum systems with Hamiltonians unbounded from below
• Physical resurgent extrapolation
• Functional determinants and geometry
• Handbook of Feynman path integrals
• Physics of the inverted harmonic oscillator: From the lowest Landau level to event horizons
• A path integral over Hilbert space for quantum mechanics
• Ten Problems in Experimental Mathematics
• Hyperasymptotics for integrals with saddles
• Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
• A Theorem on Infinite Products of Eigenvalues of Sturm-Liouville Type Operators
• Unfolding the high orders of asymptotic expansions with coalescing saddles: singularity theory, crossover and duality
• Regularization of functional determinants using boundary perturbations
• Hyperasymptotics for multidimensional integrals, exact remainder terms and the global connection problem
• Hyperasymptotics
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• On Distributions of Certain Wiener Functionals
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