Renormalization-group study of a superconducting phase transition: asymptotic behavior of higher expansion orders and results of three-loop calculations

DOI10.1007/s11232-014-0225-3zbMath1331.82078OpenAlexW2005866585MaRDI QIDQ499410

M. Yu. Nalimov, G. A. Kalagov, Mikhail V. Kompaniets

Publication date: 30 September 2015

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

Full work available at URL: https://doi.org/10.1007/s11232-014-0225-3

zbMATH Keywords

renormalization groupBorel summationsuperconductivityinstanton analysistemperature Green's function

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Renormalization group methods in equilibrium statistical mechanics (82B28) Ginzburg-Landau equations (35Q56)

Related Items

Convergent perturbation theory for studying phase transitions ⋮ On the first-order phase transition in \(SU(N)\) matrix models ⋮ Critical behavior of the \(O(n)\) \(\varphi^4\) model with an antisymmetric tensor order parameter: three-loop approximation

Uses Software

• FORM

Cites Work

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• Borel resummation of the \(\varepsilon \)-expansion of the dynamical exponent \(z\) in model a of the \(\phi ^{4}(O(n))\) theory
• Temperature Green's functions in Fermi systems: the superconducting phase transition
• The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics
• Asymptotic behavior of renormalization constants in higher orders of the perturbation expansion for the \((4-\varepsilon)\)-dimensionally regularized \(O(n)\)-symmetric \(\phi^4\) theory