Local time and a particle picture for Euclidean field theory

DOI10.1016/0022-1236(78)90062-9zbMath0464.70016OpenAlexW2028645004MaRDI QIDQ1154300

Robert L. Wolpert

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0022-1236(78)90062-9

zbMATH Keywords

Brownian motionEuclidean field theorylocal time and particle picture

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items (12)

Harmonic analysis of additive Lévy processes ⋮ Regularity of intersection local times of fractional Brownian motions ⋮ On Edwards' model for long polymer chains ⋮ Multiplicative chaos of the Brownian loop soup ⋮ A Feynman-Kac-type formula for the deterministic and stochastic wave equations and other p.d.e.'s ⋮ Intersection local time for two independent fractional Brownian motions ⋮ Wiener path intersections and local time ⋮ Some central limit theorems for Markov paths and some properties of Gaussian random fields ⋮ Gaussian and non-Gaussian random fields associated with Markov processes ⋮ Markov processes and random fields ⋮ Images of the Brownian sheet ⋮ Random fields associated with multiple points of the Brownian motion

Cites Work

• Wiener path intersections and local time
• The free Markoff field
• Axioms for Euclidean Green's functions
• Some remarks on the ground state of infinite systems in statistical mechanics
• Construction of quantum fields from Markoff fields
• A<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Quantum Field Theory without Cutoffs. I
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