A note on size-momentum correspondence and chaos

The aim of this note is to explore Susskind's proposal [1] on the connection between operator size in chaotic theories and the bulk momentum of a particle falling into black holes (see also [2–6] for more recent generalizations), in a broad class of models involving Gauss-Bonnet(GB) and Lifshit...

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Autores principales:	Sandip Mahish, Shrohan Mohapatra, Karunava Sil, Chandrasekhar Bhamidipati
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/e2b0e427d46546b89785d31a3f41a9bb
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id	oai:doaj.org-article:e2b0e427d46546b89785d31a3f41a9bb
record_format	dspace
spelling	oai:doaj.org-article:e2b0e427d46546b89785d31a3f41a9bb2021-12-04T04:32:30ZA note on size-momentum correspondence and chaos0370-269310.1016/j.physletb.2021.136732https://doaj.org/article/e2b0e427d46546b89785d31a3f41a9bb2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0370269321006729https://doaj.org/toc/0370-2693The aim of this note is to explore Susskind's proposal [1] on the connection between operator size in chaotic theories and the bulk momentum of a particle falling into black holes (see also [2–6] for more recent generalizations), in a broad class of models involving Gauss-Bonnet(GB) and Lifshitz-Hyperscaling violating theories in AdS. For Gauss-Bonnet black holes, the operator size is seen to be suppressed as the coupling constant λ is increased. For the Lifshitz-hyperscaling violating theories characterised by the parameters z and θ, the operator size is higher as compared to case z=1,θ=0 (Reissner-Nordstrom AdS black holes). In the case of operators with global charge corresponding to charged particles falling into black holes, suppression of chaos is seen in general theories of gravity, in conformity with the original proposal [1] and earlier findings [3].Sandip MahishShrohan MohapatraKarunava SilChandrasekhar BhamidipatiElsevierarticlePhysicsQC1-999ENPhysics Letters B, Vol 823, Iss , Pp 136732- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Sandip Mahish Shrohan Mohapatra Karunava Sil Chandrasekhar Bhamidipati A note on size-momentum correspondence and chaos
description	The aim of this note is to explore Susskind's proposal [1] on the connection between operator size in chaotic theories and the bulk momentum of a particle falling into black holes (see also [2–6] for more recent generalizations), in a broad class of models involving Gauss-Bonnet(GB) and Lifshitz-Hyperscaling violating theories in AdS. For Gauss-Bonnet black holes, the operator size is seen to be suppressed as the coupling constant λ is increased. For the Lifshitz-hyperscaling violating theories characterised by the parameters z and θ, the operator size is higher as compared to case z=1,θ=0 (Reissner-Nordstrom AdS black holes). In the case of operators with global charge corresponding to charged particles falling into black holes, suppression of chaos is seen in general theories of gravity, in conformity with the original proposal [1] and earlier findings [3].
format	article
author	Sandip Mahish Shrohan Mohapatra Karunava Sil Chandrasekhar Bhamidipati
author_facet	Sandip Mahish Shrohan Mohapatra Karunava Sil Chandrasekhar Bhamidipati
author_sort	Sandip Mahish
title	A note on size-momentum correspondence and chaos
title_short	A note on size-momentum correspondence and chaos
title_full	A note on size-momentum correspondence and chaos
title_fullStr	A note on size-momentum correspondence and chaos
title_full_unstemmed	A note on size-momentum correspondence and chaos
title_sort	note on size-momentum correspondence and chaos
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/e2b0e427d46546b89785d31a3f41a9bb
work_keys_str_mv	AT sandipmahish anoteonsizemomentumcorrespondenceandchaos AT shrohanmohapatra anoteonsizemomentumcorrespondenceandchaos AT karunavasil anoteonsizemomentumcorrespondenceandchaos AT chandrasekharbhamidipati anoteonsizemomentumcorrespondenceandchaos AT sandipmahish noteonsizemomentumcorrespondenceandchaos AT shrohanmohapatra noteonsizemomentumcorrespondenceandchaos AT karunavasil noteonsizemomentumcorrespondenceandchaos AT chandrasekharbhamidipati noteonsizemomentumcorrespondenceandchaos
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A note on size-momentum correspondence and chaos

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