The temporal ultraviolet limit for complex bosonic many-body models

DOI10.1007/s00023-010-0028-5zbMath1217.82010OpenAlexW2157709829MaRDI QIDQ625090

Joel Feldman, Eugene Trubowitz, Tadeusz Balaban, Horst Knoerrer

Publication date: 14 February 2011

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-010-0028-5

zbMATH Keywords

partition functionthermodynamic equilibriumquantum gasesgrand canonical ensemblecutoffsbosonic many-body modelsFeynman-Kac integralfunctional integral representationlarge distance behaviorweakly coupled gas

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Statistical mechanics of gases (82D05) Schrödinger and Feynman-Kac semigroups (47D08)

Related Items (10)

Complex bosonic many-body models: overview of the small field parabolic flow ⋮ Critical exponent for the magnetization of the weakly coupled \(\phi_4^4\) model ⋮ Renormalization in condensed matter: fermionic systems - from mathematics to materials ⋮ The small field parabolic flow for bosonic many-body models. I. Main results and algebra ⋮ The small field parabolic flow for bosonic many-body models. II. Fluctuation integral and renormalization ⋮ Power series representations for complex bosonic effective actions. III: Substitution and fixed point equations ⋮ Functional integral and stochastic representations for ensembles of identical bosons on a lattice ⋮ Power series representations for complex bosonic effective actions. I. A small field renormalization group step ⋮ Power series representations for complex bosonic effective actions. II. A small field renormalization group flow ⋮ Single scale cluster expansions with applications to many Boson and unbounded spin systems

Cites Work

• Unnamed Item
• A functional integral representation for many Boson systems I: The partition function
• A functional integral representation for many Boson systems II: Correlation functions
• Power series representations for bosonic effective actions
• Power series representations for complex bosonic effective actions. I. A small field renormalization group step
• Power series representations for complex bosonic effective actions. II. A small field renormalization group flow
• Reduced Density Matrices of Quantum Gases. I. Limit of Infinite Volume

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