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Effective field theory in AdS: Continuum regime, soft bombs, and IR emergence

Costantino, Alexandria and Fichet, Sylvain and Tanedo, Philip (2020) Effective field theory in AdS: Continuum regime, soft bombs, and IR emergence. Physical Review D, 102 (11). Art. No. 115038. ISSN 2470-0010. doi:10.1103/physrevd.102.115038.

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We consider a scalar field in a slice of Lorentzian five-dimensional AdS at arbitrary energies. We show that the presence of bulk interactions separates the behavior of the theory into two different regimes: Kaluza-Klein and continuum. We determine the transition scale between these regimes and show that UV-brane correlation functions are independent of IR-brane-localized operators for four-momenta beyond this transition scale. The same bulk interactions that induce the transition also give rise to cascade decays. We study these cascade decays for the case of a cubic self-interaction in the continuum regime. We find that the cascade decay progresses slowly towards the IR region and gives rise to soft spherical final states, in accordance with former results from both gravity and CFT. We identify a recursion relation between integrated squared amplitudes of different leg numbers and thus evaluate the total rate. We find that cascade decays in the continuum regime are exponentially suppressed. This feature completes the picture of the IR brane as an emergent sector as seen from the UV brane. We briefly discuss consistency with the holographic dual description of glueballs and some implications for dark sector models.

Item Type:Article
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Tanedo, Philip0000-0003-4642-2199
Additional Information:© 2020 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. We thank K. Agashe, S. Belayev, D. Buarque, Z. Chako, H. Davoudiasl, J. Hubisz, M. Luty, R. Sundrum, and G. von Gersdorff for useful discussions. A. C. is supported by the National Science Foundation Graduate Research Fellowship Program under Grant No. 1840991. S. F. is supported by the São Paulo Research Foundation (FAPESP) under Grants No. 2011/11973, No. 2014/21477-2, and No. 2018/11721-4, and funded in part by the Gordon and Betty Moore Foundation through a Fundamental Physics Innovation Visitor Award (Grant No. GBMF6210). P. T. is supported by de-sc/0008541. P. T. thanks the Aspen Center for Physics (NSF Grant No. 1066293) and the Kavli Institute for Theoretical Physics (NSF Grant No. PHY-1748958) for their hospitality while part of this work was completed.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
NSF Graduate Research FellowshipDGE-1840991
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)2011/11973
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)2014/21477-2
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)2018/11721-4
Gordon and Betty Moore FoundationGBMF6210
Department of Energy (DOE)DE-SC0008541
Issue or Number:11
Record Number:CaltechAUTHORS:20210104-164231825
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107310
Deposited By: George Porter
Deposited On:05 Jan 2021 01:19
Last Modified:16 Nov 2021 19:01

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