A two-dimensional analogue of the Luttinger model

DOI10.1007/S11005-010-0388-2zbMath1190.81097arXivmath-ph/0606041OpenAlexW2146319748MaRDI QIDQ975788

Edwin Langmann

Publication date: 11 June 2010

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

Full work available at URL: https://arxiv.org/abs/math-ph/0606041

zbMATH Keywords

bosonizationlattice fermionsquantum field theory in \(2+1\) dimensions

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Continuum limits in quantum field theory (81T27) Special quantum systems, such as solvable systems (81Q80)

Related Items (6)

A 2D Luttinger model ⋮ Partially gapped fermions in 2D ⋮ Exact solution of a 2D interacting fermion model ⋮ FERMIONS IN TWO DIMENSIONS, BOSONIZATION, AND EXACTLY SOLVABLE MODELS ⋮ Gauge invariance, correlated fermions, and photon mass in 2+1 dimensions ⋮ Correlation energy of a weakly interacting Fermi gas

Cites Work

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• A 2D Luttinger model
• Partially gapped fermions in 2D
• A soluble relativistic field theory
• On fermionic gauge groups, current algebras and Kac-Moody algebras
• The Luttinger-Schwinger model
• Mean field magnetic phase diagrams for the two dimensional \(t - t ' - U\) Hubbard model
• On Betti numbers of Riemannian spaces

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