Renormalization-group investigation of a superconducting \(\operatorname{U}(r)\)-phase transition using five loops calculations

DOI10.1016/j.nuclphysb.2016.02.004zbMath1332.82030arXiv1505.07360OpenAlexW350779841MaRDI QIDQ262840

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

Publication date: 30 March 2016

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.07360

Mathematics Subject Classification ID

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) Statistical mechanics of superfluids (82D50) Renormalization group methods in equilibrium statistical mechanics (82B28) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical thermodynamics (82B30)

Related Items

Superfluidity in multicomponent fermions via the functional renormalization group ⋮ Convergent perturbation theory for studying phase transitions ⋮ Six-loop \(\epsilon\) expansion study of three-dimensional \(n\)-vector model with cubic anisotropy ⋮ Six-loop \(\varepsilon\) expansion study of three-dimensional \(\mathrm{O}(n) \times \mathrm{O}(m)\) spin models ⋮ Universal effective couplings of the three-dimensional \(n\)-vector model and field theory ⋮ On the first-order phase transition in \(SU(N)\) matrix models ⋮ 2\(D\) Bose condensation and Goldstone singularities ⋮ Critical behavior of the \(O(n)\) \(\varphi^4\) model with an antisymmetric tensor order parameter: three-loop approximation ⋮ Six-loop \(\varepsilon\) expansion of three-dimensional \(\mathrm{U}(n) \times \mathrm{U}(m)\) models

Uses Software

• FORM

Cites Work

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• Higher-order asymptotics and critical indexes in the \(\varphi^3\) theory
• Instantons for dynamic models from B to H
• 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