Representation of renormalization group functions by nonsingular integrals in a model of the critical dynamics of ferromagnets: the fourth order of the \(\epsilon\)-expansion

DOI10.1134/S0040577918040104zbMath1401.82050OpenAlexW2803076552MaRDI QIDQ1794533

S. E. Vorob'eva, Mikhail V. Kompaniets, Ella V. Ivanova, Loran Ts. Adzhemyan

Publication date: 15 October 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577918040104

zbMATH Keywords

renormalization groupmultiloop diagramcritical parameter\(\epsilon\)-expansion

Mathematics Subject Classification ID

Dynamic renormalization group methods applied to problems in time-dependent statistical mechanics (82C28) Statistical mechanics of magnetic materials (82D40) Dynamic critical phenomena in statistical mechanics (82C27)

Related Items (1)

Critical dynamics of the phase transition to the superfluid state

Cites Work

• Representation of the \(\beta\)-function and anomalous dimensions by nonsingular integrals in models of critical dynamics
• Renormalization group and the \(\varepsilon\)-expansion: representation of the \(\beta\)-function and anomalous dimensions by nonsingular integrals
• Representation of the \(\beta\)-function and anomalous dimensions by nonsingular integrals: proof of the main relation
• The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics
• An automatized algorithm to compute infrared divergent multi-loop integrals.

This page was built for publication: Representation of renormalization group functions by nonsingular integrals in a model of the critical dynamics of ferromagnets: the fourth order of the \(\epsilon\)-expansion