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Universal effective couplings of the three-dimensional n-vector model and field theory. / Kudlis, A.; Sokolov, A. I.

In: Nuclear Physics B, Vol. 950, 114881, 2020.

Research output: Contribution to journal › Article › peer-review

Harvard

Kudlis, A & Sokolov, AI 2020, 'Universal effective couplings of the three-dimensional n-vector model and field theory', Nuclear Physics B, vol. 950, 114881.

APA

Kudlis, A., & Sokolov, A. I. (2020). Universal effective couplings of the three-dimensional n-vector model and field theory. Nuclear Physics B, 950, [114881].

Vancouver

Kudlis A, Sokolov AI. Universal effective couplings of the three-dimensional n-vector model and field theory. Nuclear Physics B. 2020;950. 114881.

Author

Kudlis, A. ; Sokolov, A. I. / Universal effective couplings of the three-dimensional n-vector model and field theory. In: Nuclear Physics B. 2020 ; Vol. 950.

BibTeX

@article{5578c0ae0b544b0cb27175a7f4c5a8ac,
title = "Universal effective couplings of the three-dimensional n-vector model and field theory",
abstract = "We calculate the universal ratios R2k of renormalized coupling constants g2k entering the critical equation of state for the generalized Heisenberg (three-dimensional n-vector) model. Renormalization group (RG) expansions of R8 and R10 for arbitrary n are found in the four-loop and three-loop approximations respectively. Universal octic coupling R8 is estimated for physical values of spin dimensionality n=0,1,2,3 and for n=4,...64 to get an idea about asymptotic behavior of R8. Its numerical values are obtained by means of the resummation of the RG series and within the pseudo-ε expansion approach. Regarding R10 our calculations show that three-loop RG and pseudo-ε expansions possess big and rapidly growing coefficients for physical values of n what prevents getting fair numerical estimates.",
author = "A. Kudlis and Sokolov, {A. I.}",
year = "2020",
language = "English",
volume = "950",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Universal effective couplings of the three-dimensional n-vector model and field theory

AU - Kudlis, A.

AU - Sokolov, A. I.

PY - 2020

Y1 - 2020

N2 - We calculate the universal ratios R2k of renormalized coupling constants g2k entering the critical equation of state for the generalized Heisenberg (three-dimensional n-vector) model. Renormalization group (RG) expansions of R8 and R10 for arbitrary n are found in the four-loop and three-loop approximations respectively. Universal octic coupling R8 is estimated for physical values of spin dimensionality n=0,1,2,3 and for n=4,...64 to get an idea about asymptotic behavior of R8. Its numerical values are obtained by means of the resummation of the RG series and within the pseudo-ε expansion approach. Regarding R10 our calculations show that three-loop RG and pseudo-ε expansions possess big and rapidly growing coefficients for physical values of n what prevents getting fair numerical estimates.

AB - We calculate the universal ratios R2k of renormalized coupling constants g2k entering the critical equation of state for the generalized Heisenberg (three-dimensional n-vector) model. Renormalization group (RG) expansions of R8 and R10 for arbitrary n are found in the four-loop and three-loop approximations respectively. Universal octic coupling R8 is estimated for physical values of spin dimensionality n=0,1,2,3 and for n=4,...64 to get an idea about asymptotic behavior of R8. Its numerical values are obtained by means of the resummation of the RG series and within the pseudo-ε expansion approach. Regarding R10 our calculations show that three-loop RG and pseudo-ε expansions possess big and rapidly growing coefficients for physical values of n what prevents getting fair numerical estimates.

UR - https://www.sciencedirect.com/science/article/pii/S0550321319303670

M3 - Article

VL - 950

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

M1 - 114881

ER -

ID: 51176047