Representation of the \(\beta\)-function and anomalous dimensions by nonsingular integrals in models of critical dynamics

DOI10.1007/s11232-015-0345-4zbMath1336.81063OpenAlexW2198566193MaRDI QIDQ268951

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

Publication date: 18 April 2016

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

Full work available at URL: https://doi.org/10.1007/s11232-015-0345-4

zbMATH Keywords

critical exponentrenormalization group\(\varepsilon\)-expansionmultiloop diagram

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Gamma, beta and polygamma functions (33B15) Feynman diagrams (81T18) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items (1)

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

Cites Work

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• Renormalization group and the \(\varepsilon\)-expansion: representation of the \(\beta\)-function and anomalous dimensions by nonsingular integrals
• \(H\)-model of critical dynamics: Two-loop calculations of RG functions and critical indices
• The field theory approach to percolation processes
• 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
• RENORMALIZATION-GROUP APPROACH TO THE STOCHASTIC NAVIER–STOKES EQUATION: TWO-LOOP APPROXIMATION

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