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Holographic Wilson lines as screened impurities

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.
1029-8479
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
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, [188]. (doi:10.1007/JHEP03(2020)188).

Record type: Article

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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Accepted/In Press date: 16 March 2020
e-pub ahead of print date: 31 March 2020

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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
ORCID for Andrew O'bannon: ORCID iD orcid.org/0000-0001-7862-783X
ORCID for Ronald, James Rodgers: ORCID iD orcid.org/0000-0002-4826-6540

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Date deposited: 25 Mar 2020 17:32
Last modified: 07 Oct 2020 02:08

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Author: Nicholas Evans
Author: Andrew O'bannon ORCID iD
Author: Ronald, James Rodgers ORCID iD

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