Gregory Falkovich, Zero charge and confinement in turbulence

ITMP seminar, Sep 20, 2023
Speaker: Prof. Gregory Falkovich, Weizmann Institute of Science
Title: Zero charge and confinement in turbulence
Abstract: I will describe an attempt to do renormalization in turbulence, considering waves that interact weakly via four-wave scattering (such as sea waves, plasma waves, spin waves, and many others). By summing the series of the most UV-divergent terms in the perturbation theory, we show that the true dimensionless coupling is different from the naive estimate, and find that the effective interaction either decays or grows explosively with the cascade extent, depending on the sign of the new coupling. The explosive growth possibly signals the appearance of a multi-wave bound state (solitons, shocks, cusps) similar to confinement in quantum chromodynamics.