A renormalization group method by harmonic extensions and the classical dipole gas

DOI10.1007/s00023-015-0417-xzbMath1337.81094arXiv1311.2305OpenAlexW1590312969MaRDI QIDQ270231

Hao Shen

Publication date: 7 April 2016

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.2305

zbMATH Keywords

renormalization groupharmonic extensionsGaussian fieldsclassical dipole gasfunctional intetgrals

Mathematics Subject Classification ID

Model quantum field theories (81T10) Operations with distributions and generalized functions (46F10) Renormalization group methods applied to problems in quantum field theory (81T17)

Cites Work

• Unnamed Item
• A simple method for finite range decomposition of quadratic forms and Gaussian fields
• A strong central limit theorem for a class of random surfaces
• Kosterlitz-Thouless transition line for the two dimensional Coulomb gas
• Grad \(\phi\) perturbations of massless Gaussian fields
• Functional integral representations for self-avoiding walk
• Finite range decomposition of Gaussian processes
• Parabolic Harnack inequality and estimates of Markov chains on graphs
• A non-Gaussian fixed point for \(\phi^4\) in \(4-\epsilon\) dimensions
• Critical \((\Phi^4)_{3,\epsilon}\)
• Sine-Gordon revisited
• The short distance behavior of \((\Phi^ 4_ 3)\)
• Finite range decomposition for families of gradient Gaussian measures
• Scaling limits and critical behaviour of the 4-dimensional \(n\)-component \(|\varphi|^4\) spin model
• Structural stability of a dynamical system near a non-hyperbolic fixed point
• A renormalisation group method. I. Gaussian integration and normed algebras
• A renormalisation group method. II. Approximation by local polynomials
• A renormalisation group method. III. Perturbative analysis
• A renormalisation group method. IV. Stability analysis
• A renormalisation group method. V. A single renormalisation group step
• Critical two-point function of the 4-dimensional weakly self-avoiding walk
• Infinite volume limit for the dipole gas
• Finite range decompositions of positive-definite functions
• THE RENORMALIZATION GROUP ACCORDING TO BALABAN, I. SMALL FIELDS
• Renormalisation group analysis of weakly self-avoiding walk in dimensions four and higher
• Random Walk: A Modern Introduction
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)

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