Group analysis and renormgroup symmetries

DOI10.1063/1.532374zbMath0906.22018arXivhep-th/9706056OpenAlexW3105594416MaRDI QIDQ4213022

D. V. Shirkov, V. V. Pustovalov, Vladimir F. Kovalev

Publication date: 31 January 1999

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

Full work available at URL: https://arxiv.org/abs/hep-th/9706056

zbMATH Keywords

quantum field theoryrenormalization groupdifferential equationsboundary value problemLie-Bäcklund transformation

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Applications of Lie groups to the sciences; explicit representations (22E70) Renormalization group methods applied to problems in quantum field theory (81T17) Renormalization group methods in equilibrium statistical mechanics (82B28) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items

Approximate Symmetry in Nonlinear Physics Problems, Derivation of asymptotic dynamical systems with partial Lie symmetry groups, The renormalization-group method in problems of mechanics, Classical and nonclassical symmetries analysis for initial value problems, Renormalization group symmetry and initial value problem for shallow water equations, Renormalization-group method for reduction of evolution equations; invariant manifolds and envelopes., Functional self-similarity and renormalization group symmetry in mathematical physics, New class of symmetries and exact solution to the unsteady equations of adiabatic gas dynamics, The Bogoliubov renormalization group and solution symmetry in mathematical physics, Renormalization group analysis for singularities in the wave beam self-focusing problem, Renormalization group in turbulence theory: Exactly solvable Heisenberg model, Lie equations for asymptotic solutions of perturbation problems of ordinary differential equations, Renormalization group symmetries in problems of nonlinear geometric optics

Cites Work

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