Электронный каталог

Статья

Adzhemyan, L.Ts.
Multiloop Calculations with Parametric Integration in Critical Dynamics: the Four-Loop Analytic Study of Model A of *f*4 Theory / L.Ts.Adzhemyan, D.A.Davletbaeva, D.A.Evdokimov, M.V.Kompaniets. – Text : electronic // Nuclear Physics B. – 2026. – Vol. 1024. – P. 117361. – URL: https://doi.org/10.1016/j.nuclphysb.2026.117361. – Bibliogr.: 85.

We perform an analytical four loop calculation of exponent z in model A of critical dynamics in d = 4 - *e 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)



Спец.(статьи,препринты) = С 324.3 - Аксиоматическая теория поля. Аналитические свойства матричных элементов и дисперсионные соотношения. Разложение операторов вблизи светового конуса. Вопросы регуляризации и перенормировки. Размерная регуляризация$
ОИЯИ = ОИЯИ (JINR)2026