On the convergence to the continuum of finite range lattice covariances

DOI10.1007/s10955-012-0492-zzbMath1252.82013arXiv1112.0671OpenAlexW2063150729MaRDI QIDQ438761

David C. Brydges, Pronob K. Mitter

Publication date: 31 July 2012

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.0671

zbMATH Keywords

Gaussian processesrenormalization groupPoisson kernelstable processfinite rangeblack spinlattice Laplacian

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

On a finite range decomposition of the resolvent of a fractional power of the Laplacian ⋮ A simple method for finite range decomposition of quadratic forms and Gaussian fields ⋮ Critical exponents for long-range \(\mathrm O(n)\) models below the upper critical dimension ⋮ The global renormalization group trajectory in a critical supersymmetric field theory on the lattice \(\mathbb Z^{3}\)

Cites Work

• Kosterlitz-Thouless transition line for the two dimensional Coulomb gas
• Finite range decomposition of Gaussian processes
• The global renormalization group trajectory in a critical supersymmetric field theory on the lattice \(\mathbb Z^{3}\)
• Infinite volume limit for the dipole gas
• Finite range decompositions of positive-definite functions
• Renormalisation group analysis of weakly self-avoiding walk in dimensions four and higher
• Unnamed Item

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