Continuous sample paths in quantum field theory

DOI10.1007/BF01646194zbMath0318.60086MaRDI QIDQ1222466

John T. Cannon

Publication date: 1974

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

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (11)

Traces of harmonic functions and a new path space for the free quantum field ⋮ On the formula of Mathews and Salam ⋮ The microlocal irregularity of Gaussian noise ⋮ Hölder continuity of sample paths in Euclidean field theory ⋮ Particles and bumps in quantum field configurations ⋮ A random field model for anomalous diffusion in heterogeneous porous media ⋮ Infinite volume limits in Euclidean quantum field theory via stereographic projection ⋮ On the paths Hölder continuity in models of Euclidean quantum field theory ⋮ A Poincaré lemma for connection forms ⋮ Homogeneous random fields and statistical mechanics ⋮ Support Properties of Gaussian Processes over Schwartz Space

Cites Work

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• The construction of stationary two-dimensional Markoff fields with an application to quantum field theory
• Measures on Schwartz distribution space and applications to \(P(\varphi)_2\) field theories
• The free Markoff field
• Boson fields with nonlinear selfinteraction in two dimensions
• A \(\lambda\varphi^{2n}\) field theory without cutoffs

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