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Published December 1, 2020 | Submitted + Published
Journal Article Open

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

Abstract

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.

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.

Attached Files

Published - PhysRevD.102.115038.pdf

Submitted - 2002.12335.pdf

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Additional details

Created:
August 20, 2023
Modified:
October 23, 2023