REMARK ON THE INTEGRATION BY PARTS FORMULA FOR THE $\phi_3^4$-QUANTUM FIELD MODEL

DOI10.1142/S0219025706002275zbMath1091.81064MaRDI QIDQ5468909

Song Liang, Bogusław Zegarliński, Sergio A. Albeverio

Publication date: 3 May 2006

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

integration by parts formulaquantum fieldscontinuum limits\(\phi_3^4\)-model

Mathematics Subject Classification ID

Model quantum field theories (81T10) Continuum limits in quantum field theory (81T27) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (8)

Along Paths Inspired by Ludwig Streit: Stochastic Equations for Quantum Fields and Related Systems ⋮ Non-local Markovian symmetric forms on infinite dimensional spaces. II: Applications: non local stochastic quantization of space cut-off quantum fields and infinite particle systems ⋮ A variational method for \(\Phi^4_3\) ⋮ Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions ⋮ A theory of regularity structures ⋮ Dirichlet form associated with the \(\Phi_3^4\) model ⋮ Non-local Markovian symmetric forms on infinite dimensional spaces. I: The closability and quasi-regularity ⋮ A PDE construction of the Euclidean \(\Phi^4_3\) quantum field theory

Cites Work

• Unnamed Item
• Measures on Schwartz distribution space and applications to \(P(\varphi)_2\) field theories
• Analysis and geometry on configuration spaces: the Gibbsian case
• Stochastic quantization of the two-dimensional polymer measure
• Classical Dirichlet forms on topological vector spaces --- closability and a Cameron-Martin formula
• Boson fields with the \(:\Phi^ 4:\) interaction in three dimensions
• Dirichlet forms and diffusion processes on rigged Hilbert spaces
• Wavelets and Renormalization

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