Transport Peak in the Thermal Spectral Function of N = 4 Supersymmetric Yang-Mills Plasma at Intermediate Coupling
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PhysRevLett.121.191603.pdf
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Author(s)
Casalderrey-Solana, Jorge
Starinets, Andrei O.
Grozdanov, Saso
Date Issued
November 2018
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Casalderrey-Solana, Jorge et al. "Transport Peak in the Thermal Spectral Function of N = 4 Supersymmetric Yang-Mills Plasma at Intermediate Coupling." Physical Review Letters 121, 19 (November 2018): 191603
Version
Final published version
Abstract
We study the structure of thermal spectral function of the stress-energy tensor in N = 4 supersymmetric Yang-Mills theory at intermediate ‘t Hooft coupling and infinite number of colors. In gauge-string duality, this analysis reduces to the study of classical bulk supergravity with higher-derivative corrections, which correspond to (inverse) coupling corrections on the gauge theory side. We extrapolate the analysis of perturbative leading-order corrections to intermediate coupling by nonperturbatively solving the equations of motion of metric fluctuations dual to the stress-energy tensor at zero spatial momentum. We observe the emergence of a separation of scales in the analytic structure of the thermal correlator associated with two types of characteristic relaxation modes. As a consequence of this separation, the associated spectral function exhibits a narrow structure in the small frequency region which controls the dynamics of transport in the theory and may be described as a transport peak typically found in perturbative, weakly interacting thermal field theories. We compare our results with generic expectations drawn from perturbation theory, where such a structure emerges as a consequence of the existence of quasiparticles.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.121.191603
