Continued functions and perturbation series: simple tools for convergence of diverging series in \(\mathrm{O}(n)\)-symmetric \(\phi^4\) field theory at weak coupling limit

DOI10.1007/s10955-021-02719-zzbMath1467.82030arXiv2006.12064OpenAlexW3110964153MaRDI QIDQ2020629

Venkat Abhignan, R. Sankaranarayanan

Publication date: 23 April 2021

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.12064

zbMATH Keywords

perturbation methodscontinued functions

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Statistical mechanics of superfluids (82D50) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (4)

Extrapolation from hypergeometric functions, continued functions and Borel-Leroy transformation; resummation of perturbative renormalization functions from field theories ⋮ The critical \(O(N)\) CFT: methods and conformal data ⋮ Self-similar sequence transformation for critical exponents ⋮ Continued functions and Borel–Leroy transformation: resummation of six-loop ϵ-expansions from different universality classes

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