Transport Peak in the Thermal Spectral Function of N = 4 Supersymmetric Yang-Mills Plasma at Intermediate Coupling

• Main Authors: Casalderrey-Solana, Jorge (Author), Starinets, Andrei O. (Author), Grozdanov, Saso (Contributor)
• Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics (Contributor), Massachusetts Institute of Technology. Department of Nuclear Science and Engineering (Contributor)
• Format: Article
• Language: English
• Published: American Physical Society, 2018-11-14T18:13:49Z.
• Subjects: Article
• Online Access: Get fulltext

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.
United States. Department of Energy (Contract DE-SC0011090)