Interacting fields in real-time AdS/CFT

We compute time-ordered 2- and 3-pt correlation functions of CFT scalar operators between generic in/out states. The calculation is holographically carried out by considering a non backreacting AdS scalar field with a λϕ<sup>3</sup> self-interaction term on a combination of Euclidean and...

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Detalles Bibliográficos
Autores: Botta Cantcheff, Marcelo Ángel Nicolás, Martínez, Pedro Jorge, Silva, Guillermo Ariel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Argentina
Institución:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/87278
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/87278
Access Level:acceso abierto
Palabra clave:Ciencias Exactas
Física
AdS-CFT Correspondence
Duality in Gauge Field Theories
Gauge-gravity correspondence
Descripción
Sumario:We compute time-ordered 2- and 3-pt correlation functions of CFT scalar operators between generic in/out states. The calculation is holographically carried out by considering a non backreacting AdS scalar field with a λϕ<sup>3</sup> self-interaction term on a combination of Euclidean and Lorentzian AdS sections following the Skenderis-van Rees prescription. We show that, although working in an essentially different set up, the final result for the 3-pt correlators agree with those of Rastelli et al. for Euclidean AdS. By analyzing the inner product between the in/out excited states in the large N approximation, we argue that a cubic bulk interaction deforms the excited states from coherent into squeezed. Finally, a diagrammatic interpretation of the results suggests some general properties for the n-point correlation functions between excited states.