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Quantum Fields and Strings Group Journal Club and Seminar
On renormalization group flow and dual description of 2D deformed integrable sigma models
On renormalization group flow and dual description of 2D deformed integrable sigma models
组织者
演讲者
时间
2025年01月20日 14:30 至 15:30
地点
A3-4-301
线上
Zoom 462 110 5973
(BIMSA)
摘要
There are several known examples of integrable deformations of 2D sigma models, for which there exist dual description in terms of Toda-type theories. For such deformations there is a system of screening charges, depending on the continuous parameter b, which determines deformed sigma model in the limit b to infinity and certain quantum field theory of Toda type in the limit b to 0. In the latter regime one can see, that the 2-particle scattering matrix coincides with the expansion of the trigonometric S-matrix of the corresponding deformed sigma model. In the sigma model regime it can be shown, that the leading ultraviolet asymptotic of the deformed sigma model coicides with perturbed Gaussian theory. We will demonstrate this by studying the renormalization group flows of the deformed O(3), N=2 supersymmetric CP(N) and of other sigma models. In all cases we find the renormalization scheme, in which the beta-function of these models is particularly simple, which allows us to solve the renormalization group flow equations up to the fourth loop order included.
演讲者介绍
Mikhail Alfimov received his PhD at Ecole Normale Superieure Paris in 2018 under the supervision of Prof. Vladimir Kazakov and Prof. Gregory Korchemsky. Currently he is an Associate Professor at the HSE University and Moscow Engineering-Physical Institute and a Research Fellow at the P.N. Lebedev Physical Institute of the Russian Academy of Sciences. His research is concentrated on the study of integrable quantum field theories, especially sigma models.