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19982021
most citedCritical exponents for 3D O(n)-symmetric model with n > 3

156 citations · 830 across the 34 of their papers we have counts for

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hep-th2021★ 12 cited

Six-loop expansion of three-dimensional models

L. Ts. Adzhemyan, E. V. Ivanova, M. V. Kompaniets +2

We analyze the Landau-Wilson field theory with symmetry which describes the finite-temperature phase transition in QCD in the limit of vanishing quar…

hep-th2016

Renormalized coupling constants for 3D scalar λϕ^4 field theory and pseudo-ε-expansion

M. A. Nikitina, A. I. Sokolov

Renormalized coupling constants g_{2k} that enter the critical equation of state and determine nonlinear susceptibilities of the system possess universal values g*_{2k} at the Curi…

hep-th2003

Five-loop renormalization-group expansions for two-dimensional Euclidean λϕ^4 theory

E. V. Orlov, A. I. Sokolov

The renormalization-group functions of the two-dimensional n-vector λϕ^4 model are calculated in the five-loop approximation. Perturbative series for the β-function and critical ex…

hep-th2000★ 1 cited

Critical thermodynamics of the two-dimensional systems in five-loop renormalization-group approximation

E. V. Orlov, A. I. Sokolov

The RG functions of the 2D -vector model are calculated in the five-loop approximation. Perturbative series for the function and critical exponents are resummed by the…

hep-th1998★ 28 cited

Universal critical coupling constants for the three-dimensional n-vector model from field theory

A. I. Sokolov, E. V. Orlov, V. A. Ul'kov +1

The field-theoretical renormalization group approach in three dimensions is used to estimate the universal critical values of renormalized coupling constants g_6 and g_8 for the O(…

hep-th1998

Universal effective action for O(n)-symmetric λϕ^4 model from renormalization group

A. I. Sokolov, E. V. Orlov, V. A. Ul'kov +1

The RG expansions for renormalized coupling constants g_6 and g_8 of the 3D n-vector model are calculated in the 4-loop and 3-loop approximations respectively. Resummation of the R…

hep-th1998★ 156 cited

Critical exponents for 3D O(n)-symmetric model with n > 3

S. A. Antonenko, A. I. Sokolov

Critical exponents for the 3D O(n)-symmetric model with n > 3 are estimated on the base of six-loop renormalization-group (RG) expansions. A simple Pade-Borel technique is used for…