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19972023
most citedDivergent Perturbation Series

50 citations · 232 across the 57 of their papers we have counts for

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17 papers · 1 filter

hep-ph2015

A thorny path of field theory: from triviality to interaction and confinement

I. M. Suslov

Summation of the perturbation series for the Gell-Mann--Low function β(g) of ϕ^4 theory leads to the asymptotics β(g)=β_\infty g^αat g\to\infty, where α\approx 1 for space dimensio…

hep-ph2011★ 4 cited

Renormalization Group Functions of ϕ^4 Theory from High-Temperature Expansions

I. M. Suslov

It has been previously shown that calculation of renormalization group (RG) functions of the scalar ϕ^4 theory reduces to the analysis of thermodynamic properties of the Ising mode…

hep-ph2010★ 6 cited

Asymptotic Behavior of the \Beta Function in the Φ^4 Theory: A Scheme Without Complex Parameters

Igor M. Suslov

The previously obtained analytical asymptotic expressions for the Gell-Mann - Low function β(g) and anomalous dimensions of ϕ^4 theory in the limit g\to\infty are based on the para…

hep-ph2008

Is ϕ^4 theory trivial ?

I. M. Suslov

The four-dimensional ϕ^4 theory is usually considered to be trivial in the continuum limit. In fact, two definitions of triviality were mixed in the literature. The first one, intr…

hep-ph2008★ 19 cited

Quantum Electrodynamics at Extremely Small Distances

I. M. Suslov

The asymptotics of the Gell-Mann - Low function in QED can be determined exactly, β(g)= g at g\to\infty, where g=e^2 is the running fine structure constant. It solves the problem o…

hep-ph2008★ 2 cited

Analytical asymptotics of β-function in ϕ^4 theory (end of the "zero charge" story)

I. M. Suslov

Reconstruction of the β-function for ϕ^4 theory, attempted previously by summation of perturbation series, leads to asymptotics β(g)=β_\infty g^αat g\to\infty, where α\approx 1 for…