Prediction of the higher-order terms based on Borel resummation with conformal mapping

Abstract

In this paper we discuss the method of the resummation of the asymptotic series suggested by Kazakov et al. (1978) and predictions of the higher order terms based on this approach. Application of this method to ${\phi }^4$ model is discussed.

5 pages, 5 figures,to appear in the proceedings of ACAT 2016, Valparaiso, Chile

References in corpus (1)

• Six loop analytical calculation of the field anomalous dimension and the critical exponent $\eta$ in $O(n)$-symmetric ${\phi }^4$ model

Cited by in corpus (9)

• Minimally subtracted six loop renormalization of $O(n)$-symmetric ${\varphi }^4$ theory and critical exponents
• Fast Summation of Divergent Series and Resurgent Transseries in Quantum Field Theories from Meijer-G Approximants
• Convergence of Eigenvector Continuation
• The dynamic critical exponent $z$ for 2d and 3d Ising models from five-loop $\epsilon$ expansion
• Model A of critical dynamics: 5-loop $\epsilon$ expansion study
• Six-loop $\epsilon$ expansion of three-dimensional $\text{U}(n)\times \text{U}(m)$ models
• Universal effective couplings of the three-dimensional $n$-vector model and field theory
• Critical exponents of model with matrix order parameter from resummation of six-loop results for anomalous dimensions
• Large Orders and Strong-Coupling Limit in Functional Renormalization