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Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
February 7, 2018 14:00, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)

Peculiarities of the UV renormalization in AdS space—time

E. T. Akhmedovab

a State Scientific Center of the Russian Federation - Institute for Theoretical and Experimental Physics, Moscow
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region

Abstract: We calculate one-loop corrections to four–point functions in the scalar $\phi^4$ field theory in the spaces with constant curvature and in flat space in the presence of a perfect mirror. We explain why the calculations in Euclidian and Minkowskian signatures should not provide the same result even at the leading order in non globaly hyperbolic situations. Moreover, we either encounter non–local counter–terms or a doubling of the beta–function. Our arguments are quite general and applicable to other non-conformal theories in the same spaces.