Электронный каталог

Книга (аналит. описание)

Hnatic, M.
Dynamic Isotropic Percolation Process: Renormalization Group Analysis / M.Hnatic, L.Mizisin, Yu.G.Molotkov, [a.o.] // 15th Chaotic Modeling and Simulation International Conference [Electronic resource] / Ed.: C.H.Skiadas, Y.Dimotikalis. – Cham : Springer, 2023. – P. 111-123. – URL: https://doi.org/10.1007/978-3-031-27082-6_10. – Bibliogr.: 22.

Paradigmatic model of dynamic isotropic percolation is analyzed by the means of field theoretic methods. In particular, we employ powerful analytical and numerical techniques to calculate the renormalization group functions in the -expansion, where , being the upper critical dimension. Here, our aim is to put forward a numerical technique to obtain results of an order in perturbation theory. Results for two-loop calculation are verified and all topological configurations of Feynman diagrams needed for three-loop calculation are given. – (Springer Proceedings in Complexity) .



ОИЯИ = ОИЯИ (JINR)2023
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$