Block renormalization groups in a formalism with lattice wavelets: Correlation function formulas for interacting fermions

DOI10.1006/aphy.1996.5651zbMath0926.46064OpenAlexW1965383391MaRDI QIDQ1290500

Aldo Procacci, Emmanuel A. Pereira

Publication date: 2 June 1999

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

Full work available at URL: https://doi.org/10.1006/aphy.1996.5651

zbMATH Keywords

renormalization groupcorrelation functionsfermionic systemsuniform exponential decayinteracting fermions on a latticelattice waveletsmodel of selfinteracting Fermi fieldsorthogonality between different scales

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Continuum limits in quantum field theory (81T27) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Renormalization group methods applied to problems in quantum field theory (81T17) Applications of functional analysis in quantum physics (46N50)

Related Items (1)

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Cites Work

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• Perturbation theory of the Fermi surface in a quantum liquid. A general quasiparticle formalism and one-dimensional systems
• Grad \(\phi\) perturbations of massless Gaussian fields
• Lattice and continuum wavelets and the block renormalization group
• Beta function and Schwinger functions for a many fermions system in one dimension. Anomaly of the Fermi surface
• A representation for the generating and correlation functions in the block field renormalization group formalism and asymptotic freedom
• Block renormalization group for Euclidean fermions
• Orthogonality between scales and wavelets in a representation for correlation functions. The lattice dipole gas and \((\nabla\varphi)^4\) models
• Orthogonality between scales in a renormalization group for fermions

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