The construction of stationary two-dimensional Markoff fields with an application to quantum field theory

DOI10.1016/0022-1236(73)90029-3zbMath0268.60045OpenAlexW1986557700MaRDI QIDQ758796

Charles M. Newman

Publication date: 1973

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(73)90029-3

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Generalized stochastic processes (60G20) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Markov processes (60J99)

Related Items (16)

Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions ⋮ Hölder continuity of sample paths in Euclidean field theory ⋮ Probabilistic aspects of quantum field theory ⋮ An explicitly solvable model in ?Euclidean? field theory: The Fixed Source ⋮ Compactness and the maximal Gibbs state for random Gibbs fields on a lattice ⋮ Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman ⋮ Dirichlet forms and diffusion processes on rigged Hilbert spaces ⋮ Stochastic evolution equations and related measure processes ⋮ Measures on Schwartz distribution space and applications to \(P(\varphi)_2\) field theories ⋮ Continuous sample paths in quantum field theory ⋮ Schwinger functions and their generating functionals. II. Markovian and generalized path space measures on \(\mathcal S'\) ⋮ Homogeneous random fields and statistical mechanics ⋮ Parabolic Ito equations with monotone nonlinearities ⋮ Specifications and Martin boundaries for \(\mathcal P(\phi)_2\)-random fields ⋮ The Wightman axioms and the mass gap for strong interactions of exponential type in two-dimensional space-time ⋮ On the euclidean version of Haag's theorem in \(P (\varphi )_2\) theories

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