A new era of RG calculations at BLTP: modern methods, tools, and recent achievements

Семинары

Семинар отдела «Теория фундаментальных взаимодействий»

Дата и время: четверг, 6 октября 2021 г., в 11:00

Место: Онлайн-семинар в Zoom, Конференц-зал им. Блохинцева (4-й этаж), Лаборатория теоретической физики им. Н.Н. Боголюбова

Тема семинара: «A new era of RG calculations at BLTP: modern methods, tools, and recent achievements»

Авторы: Александр Бедняков, Андрей Пикельнер (ЛТФ ОИЯИ)

Докладчик: Александр Бедняков

Аннотация:

The renormalization group (RG) method is a powerful tool for improving prediction precision in various areas of modern physics. A series of works is devoted to the development of universal approaches to the calculation of Feynman diagrams and the calculation of renormalization group functions in the framework of renormalizable quantum field theories.

The report gives a brief overview of the combination of well-known methods and original ideas that allowed the authors to obtain new results in a number of physical models (φ4, φ3, SM and its two-higgs-doublet extension) in the minimal (MS) scheme, as well as in quantum chromodynamics renormalized non-minimally (RI/SMOM scheme).

The latest achievements of the authors are the calculations of RG functions that are valid in arbitrary renormalizable field theories: six-loop expressions for multicomponent scalar models; and four-loop gauge and three-loop Yukawa beta functions in general models with interacting scalars, fermions, and vector bosons.

The report also discusses various applications of the obtained results in particle physics and theory of critical phenomena. (On account of nomination for the JINR Prize.)