Duality transformations of Gibbs random fields

DOI10.1007/BF01089192zbMath0537.60098OpenAlexW2015109807MaRDI QIDQ792712

E. N. Petrova, Vadim A. Malyshev

Publication date: 1983

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01089192

zbMATH Keywords

Ising modelsHiggs modelslattice gauge fieldsGibbs lattice fields

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Quantum equilibrium statistical mechanics (general) (82B10) Statistical thermodynamics (82B30)

Related Items (3)

Why are all dualities conformal? Theory and practical consequences ⋮ A solution to the non-Abelian duality problem ⋮ Dualities and the phase diagram of the \(p\)-clock model

Cites Work

• Unnamed Item
• Soliton sectors in continuous time lattice models
• Local theory of solutions for the \(0(2k+1)\sigma\)-model
• Elliptic function methods in \(\varphi^4\) theory and Yang-Mills theory
• Non-abelian Stokes formula
• Dual transformation in non-Abelian gauge theories
• Partition functions as averages of functionals of gaussian random functions
• The homotopy groups of condensed matter physics
• Statistics of the Two-Dimensional Ferromagnet. Part I
• Classical and quantum statistical mechanics in one and two dimensions: two-component Yukawa- and Coulomb systems.
• Computation of quantum fluctuations around multi-instanton fields from exact Green's functions: the \(\mathbb{CP}^{n-1}\) case.

This page was built for publication: Duality transformations of Gibbs random fields