Random fields as solutions of the inhomogeneous quaternionic Cauchy- Riemann equation. I: Invariance and analytic continuation

DOI10.1007/BF02156537zbMath0711.60058MaRDI QIDQ923505

Koichiro Iwata, Torbjoern Kolsrud, Sergio A. Albeverio

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

random fieldsspectral propertyWightman functionsSchwinger functions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Random operators and equations (aspects of stochastic analysis) (60H25)

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Cites Work

• Local relativistic invariant flows for quantum fields
• Representation and construction of multiplicative noise
• Two dimensional Yang-Mills theory via stochastic differential equations
• Large field renormalization. I: The basic step of the \({\mathbb{R}}\) operation
• On the stochastic quantization of field theory
• Stochastic multiplicative measures, generalized Markov semigroups, and group-valued stochastic processes and fields
• Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions
• Euclidean formulation of quantum field theory without positivity
• On the Markov property of a class of linear infinitely divisible fields
• Quaternionic analysis
• Foundations of the new field theory
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