TY - JOUR
T1 - Turbulent strings in AdS/CFT
AU - Ishii, Takaaki
AU - Murata, Keiju
N1 - Funding Information:
The work is partially funded by the Spanish government (ENE2011-22722, ENE2015-64117-C5-1-R (MINECO/FEDER)). This project has received funding from the European Commission Seventh Framework Programme (FP/2007-2013) under Grant agreement No. PIRSES-GA-2013-610692 (INNOSTORAGE) and from the European Union's Horizon 2020 research and innovation programme under grant agreement No. 657466 (INPATH-TES). The authors would like to thank the Catalan Government for the quality accreditation given to their research group GREA (2014 SGR 123). Jaume Gasia would like to thank the Departament d'Universitats, Recerca i Societat de la Informaci? de la Generalitat de Catalunya for his research fellowship (2016FI_B 00047). Laia Mir? would like to thank the Spanish Government for her research fellowship (BES-2012-051861).
Publisher Copyright:
© The Authors.
PY - 2015/6/15
Y1 - 2015/6/15
N2 - We study nonlinear dynamics of the flux tube between an external quarkantiquark pair in N = 4 super Yang-Mills theory using the AdS/CFT duality. In the gravity side, the flux tube is realized by a fundamental string whose endpoints are attached to the AdS boundary. We perturb the endpoints in various ways and numerically compute the time evolution of the nonlinearly oscillating string. As a result, cusps can form on the string, accompanied by weak turbulence and power law behavior in the energy spectrum. When cusps traveling on the string reach the boundary, we observe the divergence of the force between the quark and antiquark. Minimal amplitude of the perturbation below which cusps do not form is also investigated. No cusp formation is found when the string moves in all four AdS space directions, and in this case an inverse energy cascade follows a direct cascade.
AB - We study nonlinear dynamics of the flux tube between an external quarkantiquark pair in N = 4 super Yang-Mills theory using the AdS/CFT duality. In the gravity side, the flux tube is realized by a fundamental string whose endpoints are attached to the AdS boundary. We perturb the endpoints in various ways and numerically compute the time evolution of the nonlinearly oscillating string. As a result, cusps can form on the string, accompanied by weak turbulence and power law behavior in the energy spectrum. When cusps traveling on the string reach the boundary, we observe the divergence of the force between the quark and antiquark. Minimal amplitude of the perturbation below which cusps do not form is also investigated. No cusp formation is found when the string moves in all four AdS space directions, and in this case an inverse energy cascade follows a direct cascade.
KW - AdSCFT Correspondence
KW - Brane Dynamics in Gauge Theories
KW - Gauge-gravity correspondence
KW - Holography and quark-gluon plasmas
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U2 - 10.1007/JHEP06(2015)086
DO - 10.1007/JHEP06(2015)086
M3 - Article
AN - SCOPUS:84940972926
VL - 2015
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
ER -