SMuK 2023 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 9: AdS/CFT Correspondence and Hydrodynamic Transport

MP 9.1: Talk

Thursday, March 23, 2023, 11:00–11:30, ZEU/0250

Ultraviolet-regulated theory of non-linear diffusion — •Matthias Kaminski¹ and Navid Abbasi² — ¹University of Alabama, Tuscaloosa, AL, U.S.A. — ²School of Nuclear Science and Technology, Lanzhou University, Lanzhou, China

In a system with a single conservation law the inverse relaxation time plays the role of an ultraviolet (UV) regulator for the low energy diffusion of the conserved charge. In order to calculate renormalization effects through self-interactions stemming from fluctuations in such a system, we include the slowest non-conserved UV mode which relaxes at a system-specific relaxation time. Quantum fluctuations are computed in addition to statistical fluctuations for the first time in this framework. We show that the relaxation time is protected from renormalization while the diffusion constant is renormalized independent of the UV mode. Furthermore, the retarded Green*s function acquires four branch points, corresponding to threshold energies for generation of double-mode states from single diffusion or single UV modes. We report on the fate of long time tails in the current-current correlator, the dynamic susceptibility, and the conductivity. These results are relevant for the high temperature Hubbard model and also for the quark gluon plasma droplet near the critical point of quantum chromodynamics.