QNEC2 in deformed holographic CFTs

  • We use the quantum null energy condition in strongly coupled two-dimensional field theories (QNEC2) as diagnostic tool to study a variety of phase structures, including crossover, second and first order phase transitions. We find a universal QNEC2 constraint for first order phase transitions with kinked entanglement entropy and discuss in general the relation between the QNEC2-inequality and monotonicity of the Casini-Huerta c-function. We then focus on a specific example, the holographic dual of which is modelled by three-dimensional Einstein gravity plus a massive scalar field with one free parameter in the self-interaction potential. We study translation invariant stationary states dual to domain walls and black branes. Depending on the value of the free parameter we find crossover, second and first order phase transitions between such states, and the c-function either flows to zero or to a finite value in the infrared. We present evidence that evaluating QNEC2 for ground state solutions allows to predict the existence of phase transitions at finite temperature.

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Metadaten
Author:Christian EckerORCiD, Daniel GrumillerORCiDGND, Hesam SoltanpanahiORCiD, Philipp Stanzer
URN:urn:nbn:de:hebis:30:3-843886
DOI:https://doi.org/10.1007/JHEP03(2021)213
ISSN:1029-8479
ArXiv Id:http://arxiv.org/abs/2007.10367
Parent Title (German):Journal of high energy physics
Publisher:Springer
Place of publication:Berlin ; Heidelberg
Document Type:Article
Language:English
Date of Publication (online):2021/03/23
Date of first Publication:2021/03/23
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2024/04/30
Tag:AdS-CFT Correspondence; Black Holes; Conformal Field Theory; Field Theories in Lower Dimensions
Volume:2021
Issue:article number 213
Article Number:213
Page Number:47
Institutes:Physik / Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Sammlungen:Universitätspublikationen
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International