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Theory of non-linear diffusion with a physical gapped mode
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In a system with one conserved charge the charge diffusion is modified by non-linear self-interactions within an effective field theory (EFT) of diffusive fluctuations. We include the slowest ultraviolet (UV) mode, constructing a UV-regulated EFT. The relaxation time of this UV mode is protected from renormalization, as supported by experimental data in a bad metal system. Furthermore, the retarded density-density Green's function acquires four branch points, eventually increasing the range of applicability. We discuss the fate of long-time-tails as well as implications for the quark gluon plasma.
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Cited by 1 Pith paper
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Comparison between Causal and Acausal Diffusion: a Schwinger-Keldysh Effective Field Theory Perspective
One-loop real-time density correlations in causal diffusion reduce to known acausal results in the overdamped limit and yield a new universal scaling function in the underdamped limit.
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