Ward identities and chiral anomaly in the Luttinger liquid

DOI10.1007/s00220-005-1364-zzbMath1145.81394arXivcond-mat/0409049OpenAlexW3104533679MaRDI QIDQ2571157

G. Benfatto, Vieri Mastropietro

Publication date: 1 November 2005

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0409049

Mathematics Subject Classification ID

Continuum limits in quantum field theory (81T27) Anomalies in quantum field theory (81T50) Renormalization group methods applied to problems in quantum field theory (81T17) Renormalization group methods in equilibrium statistical mechanics (82B28) Quantum equilibrium statistical mechanics (general) (82B10) Dynamic critical phenomena in statistical mechanics (82C27)

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Cites Work

• Perturbation theory of the Fermi surface in a quantum liquid. A general quasiparticle formalism and one-dimensional systems
• A soluble relativistic field theory
• Ward identities and vanishing of the beta function for \(d=1\) interacting Fermi systems
• Small denominators and anomalous behaviour in the incommensurate Hubbard-Holstein model
• Beta function and Schwinger functions for a many fermions system in one dimension. Anomaly of the Fermi surface
• Ising models with four spin interaction at criticality
• On the density-density critical indices in interacting Fermi systems
• Soft breaking of gauge invariance in regularized quantum electrodynamics
• Beta function and anomaly of the Fermi surface for a \(d=1\) system of interacting fermions in a periodic potential
• Quantum Physics in One Dimension
• RENORMALIZATION GROUP, HIDDEN SYMMETRIES AND APPROXIMATE WARD IDENTITIES IN THE XYZ MODEL
• Renormalization group for one-dimensional fermions. A review on mathematical results

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