Convergent perturbation theory for studying phase transitions

DOI10.1134/S004057792008005XzbMath1453.81049OpenAlexW3080585536MaRDI QIDQ2214765

A. V. Ovsyannikov, M. Yu. Nalimov

Publication date: 10 December 2020

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

Full work available at URL: https://doi.org/10.1134/s004057792008005x

zbMATH Keywords

renormalization groupsuperconductivitycritical behaviorinstanton analysisconvergent perturbation theory

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Statistical mechanics of superconductors (82D55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Renormalization group methods applied to problems in quantum field theory (81T17) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Matrix models and tensor models for quantum field theory (81T32)

Related Items (2)

Superfluidity in multicomponent fermions via the functional renormalization group ⋮ Convergent perturbation theory and the strong-coupling limit in quantum electrodynamics

Cites Work

• Renormalization-group investigation of a superconducting \(\operatorname{U}(r)\)-phase transition using five loops calculations
• Renormalization-group study of a superconducting phase transition: asymptotic behavior of higher expansion orders and results of three-loop calculations
• Critical dynamics of the phase transition to the superfluid state
• Infinite lattice models by an expansion with a non-Gaussian initial approximation
• Temperature Green's functions in Fermi systems: the superconducting phase transition
• Convergent perturbation theory for lattice models with fermions
• Asymptotic behavior of renormalization constants in higher orders of the perturbation expansion for the \((4-\varepsilon)\)-dimensionally regularized \(O(n)\)-symmetric \(\phi^4\) theory

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