Multi-instantons and exact results. IV: Path integral formalism

DOI10.1016/j.aop.2011.04.002zbMath1225.81084OpenAlexW2003953492MaRDI QIDQ555648

Jean Zinn-Justin, Ulrich D. Jentschura

Publication date: 25 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.aop.2011.04.002

zbMATH Keywords

asymptotic problems and propertiesgeneral properties of perturbation theorysummation of perturbation theory

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Path integrals in quantum mechanics (81S40) Symmetry breaking in quantum theory (81R40) Perturbation theories for operators and differential equations in quantum theory (81Q15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

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Cites Work

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• Instantons in quantum mechanics and resurgent expansions
• Multi-instantons and exact results. III: Unification of even and odd anharmonic oscillators
• Multi-instantons and exact results. I: conjectures, WKB expansions, and instanton interactions
• Multi-instantons and exact results. II: Specific cases, higher-order effects, and numerical calculations
• Numerical evidence that the perturbation expansion for a non-Hermitian PT-symmetric Hamiltonian is Stieltjes
• Complex Extension of Quantum Mechanics
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Large-order perturbation theory for a non-Hermitian 𝓟𝓣-symmetric Hamiltonian
• 𝓟𝓣-symmetric quantum mechanics
• Divergence of Perturbation Theory in Quantum Electrodynamics

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