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Multiloop calculations with parametric integration in critical dynamics: the four-loop analytic study of model A of p4 theory. / Adzhemyan, L.T.; Davletbaeva, D.A.; Evdokimov, D.A.; Kompaniets, M.V.

In: Nuclear Physics B, Vol. 1024, 19.02.2026.

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

Harvard

Adzhemyan, LT, Davletbaeva, DA, Evdokimov, DA & Kompaniets, MV 2026, 'Multiloop calculations with parametric integration in critical dynamics: the four-loop analytic study of model A of p4 theory', Nuclear Physics B, vol. 1024. https://doi.org/10.1016/j.nuclphysb.2026.117361

APA

Adzhemyan, L. T., Davletbaeva, D. A., Evdokimov, D. A., & Kompaniets, M. V. (2026). Multiloop calculations with parametric integration in critical dynamics: the four-loop analytic study of model A of p4 theory. Nuclear Physics B, 1024. https://doi.org/10.1016/j.nuclphysb.2026.117361

Vancouver

Adzhemyan LT, Davletbaeva DA, Evdokimov DA, Kompaniets MV. Multiloop calculations with parametric integration in critical dynamics: the four-loop analytic study of model A of p4 theory. Nuclear Physics B. 2026 Feb 19;1024. https://doi.org/10.1016/j.nuclphysb.2026.117361

Author

Adzhemyan, L.T. ; Davletbaeva, D.A. ; Evdokimov, D.A. ; Kompaniets, M.V. / Multiloop calculations with parametric integration in critical dynamics: the four-loop analytic study of model A of p4 theory. In: Nuclear Physics B. 2026 ; Vol. 1024.

BibTeX

@article{5ed736f57ee942ed95f78ad5f35e601b,
title = "Multiloop calculations with parametric integration in critical dynamics: the four-loop analytic study of model A of p4 theory",
abstract = "We perform an analytical four loop calculation of exponent z in model A of critical dynamics in d=4−2ε dimensions. This is the first time such a large order of perturbation theory has been calculated analytically for models of critical dynamics. To do this, we apply the modern method of parametrical integration with hyperlogaritms. We discuss in detail peculiarities of application of this method to critical dynamics, e.g. the problem of linear-irreducible diagrams already present in four loop (contrary to statics where the first linear-irreducible diagram appears in six loop). Copyright {\textcopyright} 2026. Published by Elsevier B.V.",
keywords = "Critical dynamics, Hyperlogarithms, Renormalization group",
author = "L.T. Adzhemyan and D.A. Davletbaeva and D.A. Evdokimov and M.V. Kompaniets",
note = "Export Date: 09 March 2026; Cited By: 0; Correspondence Address: M.V. Kompaniets; Saint Petersburg State University, St. Petersburg, 7/9 Universitetskaya nab., 199034, Russian Federation; email: m.kompaniets@spbu.ru; CODEN: NUPBB",
year = "2026",
month = feb,
day = "19",
doi = "10.1016/j.nuclphysb.2026.117361",
language = "English",
volume = "1024",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Multiloop calculations with parametric integration in critical dynamics: the four-loop analytic study of model A of p4 theory

AU - Adzhemyan, L.T.

AU - Davletbaeva, D.A.

AU - Evdokimov, D.A.

AU - Kompaniets, M.V.

N1 - Export Date: 09 March 2026; Cited By: 0; Correspondence Address: M.V. Kompaniets; Saint Petersburg State University, St. Petersburg, 7/9 Universitetskaya nab., 199034, Russian Federation; email: m.kompaniets@spbu.ru; CODEN: NUPBB

PY - 2026/2/19

Y1 - 2026/2/19

N2 - We perform an analytical four loop calculation of exponent z in model A of critical dynamics in d=4−2ε dimensions. This is the first time such a large order of perturbation theory has been calculated analytically for models of critical dynamics. To do this, we apply the modern method of parametrical integration with hyperlogaritms. We discuss in detail peculiarities of application of this method to critical dynamics, e.g. the problem of linear-irreducible diagrams already present in four loop (contrary to statics where the first linear-irreducible diagram appears in six loop). Copyright © 2026. Published by Elsevier B.V.

AB - We perform an analytical four loop calculation of exponent z in model A of critical dynamics in d=4−2ε dimensions. This is the first time such a large order of perturbation theory has been calculated analytically for models of critical dynamics. To do this, we apply the modern method of parametrical integration with hyperlogaritms. We discuss in detail peculiarities of application of this method to critical dynamics, e.g. the problem of linear-irreducible diagrams already present in four loop (contrary to statics where the first linear-irreducible diagram appears in six loop). Copyright © 2026. Published by Elsevier B.V.

KW - Critical dynamics

KW - Hyperlogarithms

KW - Renormalization group

UR - https://www.mendeley.com/catalogue/267ad741-a305-3b12-bfa5-9be4e3b700df/

U2 - 10.1016/j.nuclphysb.2026.117361

DO - 10.1016/j.nuclphysb.2026.117361

M3 - Article

VL - 1024

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

ER -

ID: 150124847