A common method to prepare states in AdS/CFT is to perform the Euclidean path integral with sources turned on for single-trace operators. These states can be interpreted as coherent states of the bulk quantum theory associated to Lorentzian initial data on a Cauchy slice. In this paper, we discuss the extent to which arbitrary initial data can be obtained in this way. We show that the initial data must be analytic and define the subset of it that can be prepared by imposing bulk regularity. Turning this around, we show that for generic analytic initial data the corresponding Euclidean section contains singularities coming from delta function sources in the bulk. We propose an interpretation of these singularities as non-perturbative objects in the microscopic theory.

Belin, A., Withers, B. (2020). From sources to initial data and back again: on bulk singularities in Euclidean AdS/CFT. JOURNAL OF HIGH ENERGY PHYSICS, 2020(12) [10.1007/JHEP12(2020)185].

From sources to initial data and back again: on bulk singularities in Euclidean AdS/CFT

Belin A
;
2020

Abstract

A common method to prepare states in AdS/CFT is to perform the Euclidean path integral with sources turned on for single-trace operators. These states can be interpreted as coherent states of the bulk quantum theory associated to Lorentzian initial data on a Cauchy slice. In this paper, we discuss the extent to which arbitrary initial data can be obtained in this way. We show that the initial data must be analytic and define the subset of it that can be prepared by imposing bulk regularity. Turning this around, we show that for generic analytic initial data the corresponding Euclidean section contains singularities coming from delta function sources in the bulk. We propose an interpretation of these singularities as non-perturbative objects in the microscopic theory.
Articolo in rivista - Articolo scientifico
AdS-CFT Correspondence; Gauge-gravity correspondence;
English
2020
2020
12
185
open
Belin, A., Withers, B. (2020). From sources to initial data and back again: on bulk singularities in Euclidean AdS/CFT. JOURNAL OF HIGH ENERGY PHYSICS, 2020(12) [10.1007/JHEP12(2020)185].
File in questo prodotto:
File Dimensione Formato  
Belin-2020-J High Energy Phys-VoR.pdf

accesso aperto

Descrizione: Regular Article - Theoretical Physics
Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 571.61 kB
Formato Adobe PDF
571.61 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/396468
Citazioni
  • Scopus 14
  • ???jsp.display-item.citation.isi??? 14
Social impact