Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование
Universal effective coupling constant ratios of 3D scalar ψ4 field theory and pseudo- ϵ expansion. / Sokolov, A. I.; Nikitina, M. A.; Kudlis, A.
в: EPJ Web of Conferences, Том 125, 05001, 28.10.2016.Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование
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TY - JOUR
T1 - Universal effective coupling constant ratios of 3D scalar ψ4 field theory and pseudo- ϵ expansion
AU - Sokolov, A. I.
AU - Nikitina, M. A.
AU - Kudlis, A.
N1 - Funding Information: We gratefully acknowledge the support of Saint Petersburg State University via Grant 11.38.636.2013, of the Russian Foundation for Basic Research under Project No. 15-02-04687, and of the Dynasty foundation (M. A. N.). Publisher Copyright: © 2016 The Authors, published by EDP Sciences. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2016/10/28
Y1 - 2016/10/28
N2 - The ratios R2k = g2k/gk - 14 of renormalized coupling constants g2k entering the small-field equation of state approach universal values R∗2k at criticality. They are calculated for the three-dimensional λψ4 field theory within the pseudo-ϵ expansion approach. Pseudo-ϵ expansions for R∗6, R∗8, R∗10 are derived in the five-loop approximation, numerical estimates are obtained with a help of the Padé-Borel-Leroy resummation technique. Its use gives R∗6 = 1.6488, the number which perfectly agrees with the most recent lattice result R∗6 = 1.649. For the octic coupling the pseudo-ϵ expansion is less favorable numerically. Nevertheless the Padé-Borel-Leroy resummation leads to the estimate R∗8 = 0.890 close to the values R∗8 = 0.87, R∗8 = 0.857 extracted from the lattice and field-theoretical calculations. The pseudo-ϵ expansion for R∗10 turns out to have big and rapidly increasing coefficients. This makes correspondent estimates strongly dependent on the Borel-Leroy shift parameter b and prevents proper evaluation of R∗10
AB - The ratios R2k = g2k/gk - 14 of renormalized coupling constants g2k entering the small-field equation of state approach universal values R∗2k at criticality. They are calculated for the three-dimensional λψ4 field theory within the pseudo-ϵ expansion approach. Pseudo-ϵ expansions for R∗6, R∗8, R∗10 are derived in the five-loop approximation, numerical estimates are obtained with a help of the Padé-Borel-Leroy resummation technique. Its use gives R∗6 = 1.6488, the number which perfectly agrees with the most recent lattice result R∗6 = 1.649. For the octic coupling the pseudo-ϵ expansion is less favorable numerically. Nevertheless the Padé-Borel-Leroy resummation leads to the estimate R∗8 = 0.890 close to the values R∗8 = 0.87, R∗8 = 0.857 extracted from the lattice and field-theoretical calculations. The pseudo-ϵ expansion for R∗10 turns out to have big and rapidly increasing coefficients. This makes correspondent estimates strongly dependent on the Borel-Leroy shift parameter b and prevents proper evaluation of R∗10
UR - http://www.scopus.com/inward/record.url?scp=85016258077&partnerID=8YFLogxK
U2 - 10.1051/epjconf/201612505001
DO - 10.1051/epjconf/201612505001
M3 - Conference article
VL - 125
JO - EPJ Web of Conferences
JF - EPJ Web of Conferences
SN - 2100-014X
M1 - 05001
T2 - 19th International Seminar on High Energy Physics, QUARKS 2016
Y2 - 29 May 2016 through 4 June 2016
ER -
ID: 7598961