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Thermal backflow in CFTs

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Title: Thermal backflow in CFTs
Authors: Banks, E
Donos, A
Gauntlett, JP
Griffin, T
Melgar, L
Item Type: Journal Article
Abstract: We study the thermal transport properties of general conformal field theories (CFTs) on curved spacetimes in the leading order viscous hydrodynamic limit. At the level of linear response, we show that the thermal transport is governed by a system of forced linearized Navier-Stokes equations on a curved space. Our setup includes CFTs in flat spacetime that have been deformed by spatially dependent and periodic local temperature variations or strains that have been applied to the CFT, and hence is relevant to CFTs arising in condensed matter systems at zero charge density. We provide specific examples of deformations which lead to thermal backflow driven by a dc source: that is, the thermal currents locally flow in the opposite direction to the applied dc thermal source. We also consider thermal transport for relativistic quantum field theories that are not conformally invariant.
Issue Date: 30-Jan-2017
Date of Acceptance: 1-Jan-2017
URI: http://hdl.handle.net/10044/1/44861
DOI: http://dx.doi.org/10.1103/PhysRevD.95.025022
ISSN: 1550-7998
Publisher: American Physical Society
Journal / Book Title: Physical Review D
Volume: 95
Issue: 2
Copyright Statement: © 2017 American Physical Society
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Science and Technology Facilities Council (STFC)
Commission of the European Communities
Funder's Grant Number: EP/K034456/1
ST/L00044X/1
339140
Keywords: hep-th
cond-mat.mes-hall
cond-mat.str-el
Nuclear & Particles Physics
0201 Astronomical And Space Sciences
0202 Atomic, Molecular, Nuclear, Particle And Plasma Physics
0206 Quantum Physics
Publication Status: Published
Article Number: 025022
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences



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