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Extrapolation from hypergeometric functions, continued functions and Borel-Leroy transformation; resummation of perturbative renormalization functions from field theories - MaRDI portal

Extrapolation from hypergeometric functions, continued functions and Borel-Leroy transformation; resummation of perturbative renormalization functions from field theories (Q6043467)

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scientific article; zbMATH DE number 7687885

Language	Label	Description	Also known as
English	Extrapolation from hypergeometric functions, continued functions and Borel-Leroy transformation; resummation of perturbative renormalization functions from field theories	scientific article; zbMATH DE number 7687885

Statements

scholarly article

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Extrapolation from hypergeometric functions, continued functions and Borel-Leroy transformation; resummation of perturbative renormalization functions from field theories (English)

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Venkat Abhignan

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Journal of Statistical Physics

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publication date

23 May 2023

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full work available at URL

https://arxiv.org/abs/2304.00343

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zbMATH Keywords

hypergeometric functions

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continued functions

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resummation methods

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critical exponents

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MaRDI profile type

MaRDI publication profile

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Statistical Physics of Fields

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Critical phenomena and renormalization-group theory

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Graphical functions in even dimensions

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Six-loop \(\epsilon\) expansion study of three-dimensional \(n\)-vector model with cubic anisotropy

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Six-loop \(\varepsilon\) expansion study of three-dimensional \(\mathrm{O}(n) \times \mathrm{O}(m)\) spin models

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Six-loop \(\varepsilon\) expansion of three-dimensional \(\mathrm{U}(n) \times \mathrm{U}(m)\) models

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Hypergeometric continuation of divergent perturbation series: II. Comparison with Shanks transformation and Padé approximation

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Hypergeometric continuation of divergent perturbation series: I. Critical exponents of the Bose–Hubbard model

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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

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Continued functions and Borel–Leroy transformation: resummation of six-loop ϵ-expansions from different universality classes

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Non-analyticity of the Callan-Symanzik β-function of two-dimensional O(<i>N</i>) models

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Method of self-similar approximations

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Stability conditions for method of self-similar approximations

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Self-similar structures and fractal transforms in approximation theory

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Padé approximants, continued fractions, and orthogonal polynomials

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Padé approximation and continued fractions

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Summation of power series by continued exponentials

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Shanks' convergence acceleration transform, Padé approximants and partitions

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Fast-convergent resummation algorithm and critical exponents of φ4-theory in three dimensions

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Gauge Invariance and Mass. II

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Wilson loops in \(\mathcal N=4\) supersymmetric Yang-Mills theory

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An exact prediction of N=4 supersymmetric Yang–Mills theory for string theory

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The large-\(N\) limit of superconformal field theories and supergravity

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Large \(N\) field theories, string theory and gravity

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Wilson Loops in Large<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">N</mml:mi></mml:math>Field Theories

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Fractal dimensions of self-avoiding walks and Ising high-temperature graphs in 3D conformal bootstrap

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Solving the 3d Ising model with the conformal bootstrap. II: \(c\)-minimization and precise critical exponents

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Carving out OPE space and precise O(2) model critical exponents

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Precision islands in the Ising and \(O(N)\) models

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Eliminating leading corrections to scaling in the three-dimensional<i>O</i>(<i>N</i>)-symmetric ϕ<sup>4</sup>model:<i>N</i>= 3 and 4

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Correction-to-scaling exponents for two-dimensional self-avoiding walks

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Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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Conformal bootstrap for percolation and polymers

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Calculation of critical index η of the φ3-theory in four-loop approximation by the conformal bootstrap technique

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Higher-order asymptotics and critical indexes in the \(\varphi^3\) theory

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Critical exponents of the<b><i>N</i></b>-vector model

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From discrete to continuous percolation in dimensions 3 to 7

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Identifiers

zbMATH Open document ID

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10.1007/s10955-023-03108-4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6043467

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