Beta function and anomaly of the Fermi surface for a \(d=1\) system of interacting fermions in a periodic potential

DOI10.1007/BF02104511zbMath0846.46049MaRDI QIDQ1912592

Federico Bonetto, Vieri Mastropietro

Publication date: 23 September 1996

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

zbMATH Keywords

perturbation theoryrenormalization groupFermi surfaceSchwinger functionsLuttinger modelinfrared problemexact solution of the Mattis modelone-dimensional system of fermions in a periodic potential interacting via a short range, spin independent potentialrunning couplings

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) Applications of functional analysis in quantum physics (46N50)

Related Items (max. 100)

Critical indices for the Yukawa\(_2\) quantum field theory ⋮ Beta function and anomaly of the Fermi surface for a \(d=1\) system of interacting fermions in a periodic potential ⋮ Parametric cutoffs for interacting Fermi liquids ⋮ ANOMALOUS SUPERCONDUCTIVITY IN COUPLED LUTTINGER LIQUIDS ⋮ Rigorous proof of Luttinger liquid behavior in the 1d Hubbard model ⋮ Renormalization group in statistical mechanics and mechanics: gauge symmetries and vanishing beta functions ⋮ Renormalization group for one-dimensional fermions. A review on mathematical results ⋮ RENORMALIZATION GROUP, HIDDEN SYMMETRIES AND APPROXIMATE WARD IDENTITIES IN THE XYZ MODEL ⋮ Ward identities and chiral anomaly in the Luttinger liquid ⋮ Multi-channel Luttinger liquids at the edge of quantum Hall systems ⋮ Anomalous universality in the anisotropic Ashkin-Teller model

Cites Work

• Perturbation theory of the Fermi surface in a quantum liquid. A general quasiparticle formalism and one-dimensional systems
• Perturbation theory and nonrenormalizable scalar fields
• Beta function and Schwinger functions for a many fermions system in one dimension. Anomaly of the Fermi surface
• Renormalization group and the ultraviolet problem in the Luttinger model
• Beta function and anomaly of the Fermi surface for a \(d=1\) system of interacting fermions in a periodic potential
• Analytic Properties of Bloch Waves and Wannier Functions

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