Ultraviolet phenomena in AdS self-interacting quantum field theory

Akhmedov, Emil (0000000092721542, Moscow Institute of Physics and Technology, Institutskii per, 9, 141700, Dolgoprudny, Russia) (0000 0001 0125 8159, Institute for Theoretical and Experimental Physics, B. Cheremushkinskaya, 25, 117218, Moscow, Russia) ; Moschella, Ugo (0000000121724807, Dipartimento DiSAT, Università degli Studi dell’Insubria, Via Valleggio 11, 22100, Como, Italy) ( INFN, Sezione di Milano, Via Celoria 16, 20146, Milano, Italy) ; Popov, Fedor  (0000 0001 2097 5006, Department of Physics, Princeton University, Princeton, NJ, 08544, U.S.A.) (0000000092721542, Moscow Institute of Physics and Technology, Institutskii per, 9, 141700, Dolgoprudny, Russia) (0000 0001 0125 8159, Institute for Theoretical and Experimental Physics, B. Cheremushkinskaya, 25, 117218, Moscow, Russia)

30 March 2018

Abstract: We study the one-loop corrections to the four-point function in the Anti de Sitter space-time for a ϕ 4 field theory. Our calculation shows the existence of non-local counterterms which however respect the AdS isometry. Our arguments are quite general and applicable to other AdS field theories. We also explain why calculations in Euclidean and Lorentzian signatures should differ even at the leading order in non globaly hyperbolic manifolds.


Published in: JHEP 1803 (2018) 183
Published by: Springer/SISSA
DOI: 10.1007/JHEP03(2018)183
arXiv: 1802.02955
License: CC-BY-4.0



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