The large proper-time expansion of Yang-Mills plasma as a resurgent transseries
The large proper-time expansion of Yang-Mills plasma as a resurgent transseries
We show that the late-time expansion of the energy density of N = 4 supersymmetric Yang-Mills plasma at infinite coupling undergoing Bjorken flow takes the form of a multi-parameter transseries. Using the AdS/CFT correspondence we find a gravity solution which supplements the well known large proper-time expansion by exponentially-suppressed sectors corresponding to quasinormal modes of the AdS black-brane. The full solution also requires the presence of further sectors which have a natural interpretation as couplings between these modes. The exponentially-suppressed sectors represent nonhydrodynamic contributions to the energy density of the plasma. We use resurgence techniques on the resulting transseries to show that all the information encoded in the nonhydrodynamic sectors can be recovered from the original hydrodynamic gradient expansion.
Aniceto, Ines
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Jankowski, Jakub
421b695b-db53-464f-b038-095ff5e57b41
Meiring, Ben
798c6f01-e245-45db-8d3e-68661e8e190e
Spaliński, Michał
3fabf22d-7873-492c-8bc6-6101c914c2b0
February 2019
Aniceto, Ines
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Jankowski, Jakub
421b695b-db53-464f-b038-095ff5e57b41
Meiring, Ben
798c6f01-e245-45db-8d3e-68661e8e190e
Spaliński, Michał
3fabf22d-7873-492c-8bc6-6101c914c2b0
Aniceto, Ines, Jankowski, Jakub, Meiring, Ben and Spaliński, Michał
(2019)
The large proper-time expansion of Yang-Mills plasma as a resurgent transseries.
Journal of High Energy Physics, 2019 (2), [73].
(doi:10.1007/JHEP02(2019)073).
Abstract
We show that the late-time expansion of the energy density of N = 4 supersymmetric Yang-Mills plasma at infinite coupling undergoing Bjorken flow takes the form of a multi-parameter transseries. Using the AdS/CFT correspondence we find a gravity solution which supplements the well known large proper-time expansion by exponentially-suppressed sectors corresponding to quasinormal modes of the AdS black-brane. The full solution also requires the presence of further sectors which have a natural interpretation as couplings between these modes. The exponentially-suppressed sectors represent nonhydrodynamic contributions to the energy density of the plasma. We use resurgence techniques on the resulting transseries to show that all the information encoded in the nonhydrodynamic sectors can be recovered from the original hydrodynamic gradient expansion.
Text
Aniceto 2019 Article The Large Proper-time Expansion
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Accepted/In Press date: 11 January 2019
e-pub ahead of print date: 13 February 2019
Published date: February 2019
Identifiers
Local EPrints ID: 425860
URI: http://eprints.soton.ac.uk/id/eprint/425860
ISSN: 1029-8479
PURE UUID: 4dc78ddb-c8ba-40b3-880f-bc8f9775df14
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Date deposited: 05 Nov 2018 17:30
Last modified: 16 Mar 2024 04:39
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Author:
Jakub Jankowski
Author:
Ben Meiring
Author:
Michał Spaliński
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