Example of the convergence of hydrodynamics in strong external fields

Casey Cartwright

doi:10.1103/PhysRevD.110.026021

Example of the convergence of hydrodynamics in strong external fields

Casey Cartwright

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

The anti-de-Sitter/conformal field theory (AdS/CFT) correspondence is used to provide an estimate of the radius of convergence of the linearized gradient expansion of the hydrodynamic description of N=4 supersymmetric Yang-Mills (SYM) theory minimally coupled to U(1) gauge theory subjected to strong magnetic fields. The results of this work demonstrate that the dispersion relations of hydrodynamic modes continue to converge for magnetic field strengths far beyond those values for which a hydrodynamic description is expected. For magnetic field strengths much larger then the temperature scale the bulk dual interpolates between AdS4+1 and the product of a Bañados-Teitelboim-Zanelli (BTZ) black hole and a two dimensional manifold (BTZ2+1×R2) and may be regarded as a renormalization group flow of the 3+1 dimensional CFT to a 1+1 dimensional CFT. In this regime, we clarify past literature on the quasi-normal mode (QNM) spectrum of bulk scalar fields by introducing a new way to classify the behavior of QNM collisions in the complex frequency and momentum plane.

Original language	English
Article number	026021
Pages (from-to)	1-17
Number of pages	17
Journal	Physical Review D
Volume	110
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevD.110.026021
Publication status	Published - 15 Jul 2024

Bibliographical note

Publisher Copyright:
© 2024 authors.

Funding

The author is grateful to the organizers of the program \u201CHolographic Perspectives on Chiral Transport\u201D for an invitation to present early results from this work. The author thanks for support at the program \u201CHolographic Perspectives on Chiral Transport\u201D during which part of this research had been developed and completed. The author is also grateful to the participants of this excellent workshop for comments and discussion. The author is also grateful to Sebastian Grieninger for discussion and specifically to Sa\u0161o Grozdanov for comments and questions on an early draft of this work. This work is supported by the Netherlands Organisation for Scientific Research (NWO) under the VICI Grant No. VI.\u2009C.202.104.

Funders
Nederlandse Organisatie voor Wetenschappelijk Onderzoek
NWO

Keywords

Collisions
Event
Magnetic-field
Negative magnetoresistance
Symmetry-breaking

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10.1103/PhysRevD.110.026021

PhysRevD.110.026021Final published version, 1.48 MB

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title = "Example of the convergence of hydrodynamics in strong external fields",

abstract = "The anti-de-Sitter/conformal field theory (AdS/CFT) correspondence is used to provide an estimate of the radius of convergence of the linearized gradient expansion of the hydrodynamic description of N=4 supersymmetric Yang-Mills (SYM) theory minimally coupled to U(1) gauge theory subjected to strong magnetic fields. The results of this work demonstrate that the dispersion relations of hydrodynamic modes continue to converge for magnetic field strengths far beyond those values for which a hydrodynamic description is expected. For magnetic field strengths much larger then the temperature scale the bulk dual interpolates between AdS4+1 and the product of a Ba{\~n}ados-Teitelboim-Zanelli (BTZ) black hole and a two dimensional manifold (BTZ2+1×R2) and may be regarded as a renormalization group flow of the 3+1 dimensional CFT to a 1+1 dimensional CFT. In this regime, we clarify past literature on the quasi-normal mode (QNM) spectrum of bulk scalar fields by introducing a new way to classify the behavior of QNM collisions in the complex frequency and momentum plane.",

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Example of the convergence of hydrodynamics in strong external fields

Abstract

Bibliographical note

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Keywords

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