Supermathematics and its applications in statistical physics. Grassmann variables and the method of supersymmetry

DOI10.1007/978-3-662-49170-6zbMath1345.81003OpenAlexW4245832130MaRDI QIDQ261515

F. J. Wegner

Publication date: 23 March 2016

Published in: Lecture Notes in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-662-49170-6

zbMATH Keywords

partition functionlattice modelsIsing modelcommutative and anticommutative variablessupermathematics

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Path integrals in quantum mechanics (81S40) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Exterior algebra, Grassmann algebras (15A75)

Related Items (10)

Marginal CFT perturbations at the integer quantum Hall transition ⋮ Supersymmetric cluster expansions and applications to random Schrödinger operators ⋮ Random field \(\phi^3\) model and Parisi-Sourlas supersymmetry ⋮ The integer quantum Hall plateau transition is a current algebra after all ⋮ Random matrices with row constraints and eigenvalue distributions of graph Laplacians ⋮ Orthosymplectic superinstanton counting and brane dynamics ⋮ Some super systems with local bi-Hamiltonian operators ⋮ The density of states of 1D random band matrices via a supersymmetric transfer operator ⋮ Supersymmetric polar coordinates with applications to the Lloyd model ⋮ Elliptic stochastic quantization

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