The Simon-Lieb inequality for the \(\phi ^ 4\)-theory in two dimensions

DOI10.1016/0022-1236(88)90082-1zbMath0661.46062OpenAlexW2087049409MaRDI QIDQ1113065

Wei-Shih Yang

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90082-1

zbMATH Keywords

Brownian motioncorrelation functionsymmetric Markov processP(\(\phi \) )-(constructive) field theorySimon-Lieb inequality

Mathematics Subject Classification ID

Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Constructive quantum field theory (81T08) Miscellaneous applications of functional analysis (46N99)

Related Items (1)

Renormalization of a self-avoiding Brownian motion in two dimensions

Cites Work

• Gaussian and non-Gaussian random fields associated with Markov processes
• Polynomials of the occupation field and related random fields
• The \(P(\phi)_2\) Euclidean quantum field theory as classical statistical mechanics. II.
• Small distance behaviour in field theory and power counting
• Markov processes and random fields
• ISOLATION OF SINGULARITIES OF THE GREEN'S FUNCTION
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