scientific article

zbMath0589.46061MaRDI QIDQ3717642

Arthur Jaffe, James G. Glimm

Publication date: 1984

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Green's functionscatteringphase transitionsfundamental solutionresolvent kernelquantum field theorycritical pointscorrelation inequalitiesstatistical physicsFeynman-Kac formulacovariance operatormagnetic momentLee-Yang theoremtheoremfunction space integralsEuclidean propagatorintegration over function space

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Renormalization group methods applied to problems in quantum field theory (81T17) Quantum equilibrium statistical mechanics (general) (82B10) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Quantum scattering theory (81U99) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Miscellaneous applications of functional analysis (46N99)

Related Items (6)

Unnamed Item ⋮ Distributions and partial differential equations on superspace ⋮ The complex germ method in Fock space. I: Wave packet type asymptotics ⋮ A limit theorem on the convergence of random walk functionals to a solution of the Cauchy problem for the equation \( \frac{\partial u}{\partial t}=\frac{\sigma^2}{2}\Delta u \) with complex \(\sigma\) ⋮ Sine-Gordon type field in spacetime of arbitrary dimension. II: Stochastic quantization ⋮ Limit Theorems on Convergence of Expectations of Functionals of Sums of Independent Random Variables to Solutions of Initial-Boundary Value Problems

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