Scattering behaviour of quantum vector fields obtained from Euclidean covariant SPDEs

DOI10.1016/S0034-4877(99)80141-4zbMath0964.81047OpenAlexW2057610486MaRDI QIDQ1573844

Hanno Gottschalk, Jiang-Lun Wu, Sergio A. Albeverio

Publication date: 9 August 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(99)80141-4

zbMATH Keywords

stochastic partial differential equationsscattering amplitudesSchwinger functionsnon-Gaussian white noiseFourier transformed truncated Wightman functionspositive mass spectrum

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) (2)-body potential quantum scattering theory (81U05) Stochastic quantization (81S20)

Related Items (4)

Quantum fields obtained from convoluted generalized white noise never have positive metric ⋮ SYSTEMS OF CLASSICAL PARTICLES IN THE GRAND CANONICAL ENSEMBLE, SCALING LIMITS AND QUANTUM FIELD THEORY ⋮ From stochastic differential equation to quantum field theory ⋮ \(H\)-\(C^1\) maps and elliptic SPDEs with polynomial and exponential perturbations of Nelson's Euclidean free field

Cites Work

• Random fields as solutions of the inhomogeneous quaternionic Cauchy- Riemann equation. I: Invariance and analytic continuation
• Axioms for Euclidean Green's functions
• On the connection between the LSZ and Wightman quantum field theory
• CONVOLUTED GENERALIZED WHITE NOISE, SCHWINGER FUNCTIONS AND THEIR ANALYTIC CONTINUATION TO WIGHTMAN FUNCTIONS
• Covariant SPDEs and quantum field structures

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