Polymers in a weak random potential in dimension four: Rigorous renormalization group analysis

DOI10.1007/BF02105188zbMath0796.60105MaRDI QIDQ1325566

Jacques Magnen, D. Iagolitzer

Publication date: 20 September 1994

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

zbMATH Keywords

correlation functionsstatistical physicsweak couplingEdwards model of polymersmethods of constructive field theory

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Other physical applications of random processes (60K40) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16)

Related Items

Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models. ⋮ The diffusive phase of a model of self-interacting walks ⋮ A new discrete Edwards model and a new polymer measure in two dimensions ⋮ From constructive field theory to fractional stochastic calculus. I: An introduction: Rough path theory and perturbative heuristics ⋮ Critical exponents for long-range \(\mathrm O(n)\) models below the upper critical dimension ⋮ From constructive field theory to fractional stochastic calculus. II: Constructive proof of convergence for the Lévy area of fractional Brownian motion with Hurst index \(\alpha \in \left(\frac{1}{8},\frac{1}{4}\right)\) ⋮ Constructive field theory and applications: Perspectives and open problems ⋮ The scaling limit of the KPZ equation in space dimension 3 and higher ⋮ The Renormalization Group and Self-avoiding Walk ⋮ Kac polymers ⋮ Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis ⋮ Critical two-point function of the 4-dimensional weakly self-avoiding walk ⋮ Critical correlation functions for the 4-dimensional weakly self-avoiding walk and \(n\)-component \(|\varphi|^4\) model

Cites Work

• Unnamed Item
• The intersection of Brownian paths as a case study of a renormalization group method for quantum field theory
• Self-avoiding walk in 5 or more dimensions
• A renormalizable field theory: The massive Gross-Neveu model in two dimensions
• On Edwards' model for long polymer chains
• The probability of intersection of independent random walks in four dimensions
• Self-avoiding walk in five or more dimensions. I: The critical behaviour
• Decrease properties of truncated correlation functions and analyticity properties for classical lattices and continuous systems
• The statistical mechanics of polymers with excluded volume