Ward identities and vanishing of the beta function for \(d=1\) interacting Fermi systems

DOI10.1023/B:JOSS.0000019825.37968.23zbMath1157.82328MaRDI QIDQ1011343

G. Benfatto, Vieri Mastropietro

Publication date: 8 April 2009

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

Mathematics Subject Classification ID

Renormalization group methods applied to problems in quantum field theory (81T17) Renormalization group methods in equilibrium statistical mechanics (82B28) Dynamic critical phenomena in statistical mechanics (82C27)

Related Items (14)

Functional integral construction of the massive Thirring model: verification of axioms and massless limit ⋮ Weakly nonplanar dimers ⋮ Quantum field theory on noncommutative spaces ⋮ Rigorous proof of Luttinger liquid behavior in the 1d Hubbard model ⋮ Vanishing of beta function of non-commutative \(\Phi_4^4\) theory to all orders ⋮ Universality of one-dimensional Fermi systems. II. The Luttinger liquid structure ⋮ A Solvable Four-Dimensional QFT ⋮ Correlation energy of a weakly interacting Fermi gas ⋮ Rigorous analysis of the Tomonaga model by means of Ward identities and the renormalization group ⋮ Non-integrable dimers: universal fluctuations of tilted height profiles ⋮ Ward identities and chiral anomaly in the Luttinger liquid ⋮ Multi-channel Luttinger liquids at the edge of quantum Hall systems ⋮ Common behaviors of spinor-type instantons in 2D Thirring and 4D Gursey fermionic models ⋮ Anomalous universality in the anisotropic Ashkin-Teller model

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