Construction by bosonization of a fermion-phonon model

DOI10.1063/1.4930299zbMath1333.81222arXiv1503.01835OpenAlexW2147278127MaRDI QIDQ3192703

Per Moosavi, Edwin Langmann

Publication date: 13 October 2015

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

Full work available at URL: https://arxiv.org/abs/1503.01835

zbMATH Keywords

continuum limitexact solutioncorrelation functionsbosonizationvertex operatorsLuttinger modelboson Fock spaceboson-fermion correspondencefermion Fock spacemassless Thirring modelfermionizationfermion densitiesfermion-phonon modelKlein factors

Mathematics Subject Classification ID

Model quantum field theories (81T10) Quantum field theory on lattices (81T25) Exactly solvable models; Bethe ansatz (82B23) Applications of selfadjoint operator algebras to physics (46L60) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Lattice dynamics; integrable lattice equations (37K60) Special quantum systems, such as solvable systems (81Q80)

Related Items (6)

Breaking of Huygens–Fresnel principle in inhomogeneous Tomonaga–Luttinger liquids ⋮ Deformed Calogero-Sutherland model and fractional quantum Hall effect ⋮ Inhomogeneous conformal field theory out of equilibrium ⋮ Out-of-horizon correlations following a quench in a relativistic quantum field theory ⋮ Steady states and universal conductance in a quenched Luttinger model ⋮ Finite-time universality in nonequilibrium CFT

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