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Limit cycles in renormalization group dynamicsa Russian Federation State Scientific Center ‘A.I. Alikhanov Institute of Theoretical and Experimental Physics’, ul. Bolshaya Cheremushkinskaya 25, Moscow, 117259, Russian Federation b Moscow 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.
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