Diagram reduction in problem of critical dynamics of ferromagnets: 4-loop approximation

DOI10.1088/1751-8121/aab20fzbMath1390.82067arXiv1712.05917OpenAlexW2781074704MaRDI QIDQ4639624

Loran Ts. Adzhemyan, S. Ye Vorobyeva, Mikhail V. Kompaniets, Ella V. Ivanova

Publication date: 9 May 2018

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

Full work available at URL: https://arxiv.org/abs/1712.05917

zbMATH Keywords

critical exponentsrenormalization group\(\varepsilon\)-expansionmulti-loop diagrams

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Feynman diagrams (81T18) Renormalization group methods in equilibrium statistical mechanics (82B28) Statistical mechanics of magnetic materials (82D40)

Related Items (2)

Model A of critical dynamics: 5-loop \(\varepsilon\) expansion study ⋮ Critical dynamics of the phase transition to the superfluid state

Uses Software

• JaxoDraw

Cites Work

• Six loop analytical calculation of the field anomalous dimension and the critical exponent \(\eta\) in \(\operatorname{O}(n)\)-symmetric \(\phi^{4}\) model
• Borel resummation of the \(\varepsilon \)-expansion of the dynamical exponent \(z\) in model a of the \(\phi ^{4}(O(n))\) theory
• \(H\)-model of critical dynamics: Two-loop calculations of RG functions and critical indices
• The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics
• Critical dynamics: a field-theoretical approach
• An automatized algorithm to compute infrared divergent multi-loop integrals.

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