Limit cycles in renormalization group dynamics

K.M. Bulycheva^a, A.S. Gorskii^a, b
^aRussian Federation State Scientific Center ‘A.I. Alikhanov Institute of Theoretical and Experimental Physics’, ul. Bolshaya Cheremushkinskaya 25, Moscow, 117259, Russian Federation
^bMoscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation

This review discusses the concept of limit cycles in renormalization group flows. Examples from quantum mechanics and field theory are presented.

PACS: 11.10.Hi, 11.25.Uv, 12.60.Jv (all)
DOI: 10.3367/UFNe.0184.201402g.0182
URL: https://ufn.ru/en/articles/2014/2/g/
Web of Science

000336162000007
Scopus

2-s2.0-84900826869
ADS NASA

2014PhyU...57..171B
Citation: Bulycheva K M, Gorskii A S "Limit cycles in renormalization group dynamics" Phys. Usp. 57 171–182 (2014)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 17th, December 2013, accepted: 5th, June 2013

Оригинал: Булычева К М, Горский А С «Предельные циклы в ренормгрупповой динамике» УФН 184 182–193 (2014); DOI: 10.3367/UFNr.0184.201402g.0182

References (50) Cited by (16) Similar articles (8) ↓

A.V. Smilga “Vacuum structure in 3D supersymmetric gauge theories” 57 155–166 (2014)
M.A. Vasil’ev “Higher spin gauge theory” 46 218–223 (2003)
V.P. Neznamov, I.I. Safronov “A new method for solving the Z > 137 problem and determining hydrogen-like energy levels” 57 189–193 (2014)
M.I. Vysotskii, S.I. Godunov “Critical charge in a superstrong magnetic field” 57 194–198 (2014)
V.A. Rubakov “Multidimensional models of particle physics” 46 211–218 (2003)
Yu.E. Lozovik, S.P. Merkulova, A.A. Sokolik “Collective electron phenomena in graphene” 51 727–744 (2008)
M.V. Sadovskii “Limits of Eliashberg theory and bounds for superconducting transition temperature” 65 724–739 (2022)
R.A. Suris, V.Ya. Frenkel’ “Ya I Frenkel’s studies of the theory of the electric conductivity of metals” 37 357–373 (1994)

The list is formed automatically.