Holographic Wilson lines as screened impurities
Holographic Wilson lines as screened impurities
In Landau Fermi liquids, screened impurities support quasi-bound states, representing electrons bound to the impurity but making virtual excursions away. Signals of these quasi-bound states are electron-impurity scattering phase shifts and the corresponding resonances in cross sections. We consider large-N, strongly-coupled (3+1)-dimensional N = 4 supersymmetric SU(N) Yang-Mills theory on the Coulomb branch, where an adjoint scalar has a non-zero expectation value that breaks SU(N) → SU(N−1) × U(1). In the holographic dual we revisit well-known solutions for a probe D3-brane that describe this theory with asymmetric-representation Wilson line “impurity.” We present evidence that the adjoint scalar screens the Wilson line, by showing that quasi-bound states form at the impurity, producing U(1)-impurity scattering phase shifts and corresponding resonances in cross sections. The quasi-bound states appear holographically as quasi-normal modes of probe D3-brane fields, even in the absence of a black hole horizon, via a mechanism that we argue is generic to screened defects in holography. We also argue that well-known generalisations of these probe D3-brane solutions can describe lattices of screened Wilson/’t Hooft line impurities.
AdS-CFT Correspondence, Gauge-gravity correspondence, Holography and condensed matter physics (AdS/CMT), Wilson, ’t Hooft and Polyakov loops
Evans, Nicholas
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
O'bannon, Andrew
f0c14b6c-5b74-4319-8432-f9eba1e20cf3
Rodgers, Ronald, James
50624100-db56-478e-9b46-0db869df1020
31 March 2020
Evans, Nicholas
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
O'bannon, Andrew
f0c14b6c-5b74-4319-8432-f9eba1e20cf3
Rodgers, Ronald, James
50624100-db56-478e-9b46-0db869df1020
Evans, Nicholas, O'bannon, Andrew and Rodgers, Ronald, James
(2020)
Holographic Wilson lines as screened impurities.
Journal of High Energy Physics, 2020 (3), [188].
(doi:10.1007/JHEP03(2020)188).
Abstract
In Landau Fermi liquids, screened impurities support quasi-bound states, representing electrons bound to the impurity but making virtual excursions away. Signals of these quasi-bound states are electron-impurity scattering phase shifts and the corresponding resonances in cross sections. We consider large-N, strongly-coupled (3+1)-dimensional N = 4 supersymmetric SU(N) Yang-Mills theory on the Coulomb branch, where an adjoint scalar has a non-zero expectation value that breaks SU(N) → SU(N−1) × U(1). In the holographic dual we revisit well-known solutions for a probe D3-brane that describe this theory with asymmetric-representation Wilson line “impurity.” We present evidence that the adjoint scalar screens the Wilson line, by showing that quasi-bound states form at the impurity, producing U(1)-impurity scattering phase shifts and corresponding resonances in cross sections. The quasi-bound states appear holographically as quasi-normal modes of probe D3-brane fields, even in the absence of a black hole horizon, via a mechanism that we argue is generic to screened defects in holography. We also argue that well-known generalisations of these probe D3-brane solutions can describe lattices of screened Wilson/’t Hooft line impurities.
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Wilsonlines
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Accepted/In Press date: 16 March 2020
Published date: 31 March 2020
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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
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© 2020, The Author(s).
Keywords:
AdS-CFT Correspondence, Gauge-gravity correspondence, Holography and condensed matter physics (AdS/CMT), Wilson, ’t Hooft and Polyakov loops
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Local EPrints ID: 438862
URI: http://eprints.soton.ac.uk/id/eprint/438862
ISSN: 1029-8479
PURE UUID: 4c331f3c-db1a-4406-8436-35e855ba07b4
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Date deposited: 25 Mar 2020 17:32
Last modified: 16 Mar 2024 07:07
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Author:
Ronald, James Rodgers
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