Improved Power Counting and Fermi Surface Renormalization

DOI10.1142/S0129055X98000185zbMath0914.35113arXivcond-mat/9607022OpenAlexW2040541902MaRDI QIDQ4221344

Manfred Salmhofer

Publication date: 14 March 1999

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9607022

zbMATH Keywords

perturbation theorymany-fermion systemsFermi surface renormalizationimproved power counting bounds

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) PDEs in connection with quantum mechanics (35Q40) Renormalization group methods in equilibrium statistical mechanics (82B28) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of liquids (82D15)

Related Items (8)

An inversion theorem in Fermi surface theory ⋮ Regularity of interacting nonspherical Fermi surfaces: The full self-energy ⋮ Renormalization in condensed matter: fermionic systems - from mathematics to materials ⋮ Exact solution of a 2D interacting fermion model ⋮ Constructive field theory and applications: Perspectives and open problems ⋮ Renormalization proof for massive \(\phi_4^4\) theory on Riemannian manifolds ⋮ The functional Callan-Symanzik equation for the Coulomb gas ⋮ Functional integral and stochastic representations for ensembles of identical bosons on a lattice

Cites Work

• Perturbation theory of the Fermi surface in a quantum liquid. A general quasiparticle formalism and one-dimensional systems
• Beta function and Schwinger functions for a many fermions system in one dimension. Anomaly of the Fermi surface
• Perturbation theory around nonnested Fermi surfaces. I: Keeping the Fermi surface fixed.

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