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Transport peak in thermal spectral function of N=4 supersymmetric Yang-Mills plasma at intermediate coupling
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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.
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CASALDERREY SOLANA, Jorge, GROZDANOV, Saso i STARINETS, Andrei O. Transport peak in thermal spectral function of N=4 supersymmetric Yang-Mills plasma at intermediate coupling. Physical Review Letters. 2018. Vol. 121, núm. 191603. ISSN 0031-9007. [consulta: 7 de maig de 2026]. Disponible a: https://hdl.handle.net/2445/126144