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- W4313446356 abstract "We study Krylov complexity in various models of quantum field theory: free massive bosons and fermions on flat space and on spheres, holographic models, and lattice models with the UV-cutoff. In certain cases we find asymptotic behavior of Lanczos coefficients, which goes beyond previously observed universality. We confirm that in all cases the exponential growth of Krylov complexity satisfies the conjectural inequality, which generalizes the Maldacena-Shenker-Stanford bound on chaos. We discuss temperature dependence of Lanczos coefficients and note that the relation between the growth of Lanczos coefficients and chaos may only hold for the sufficiently late, truly asymptotic regime governed by the physics at the UV cutoff. Contrary to previous suggestions, we show scenarios when Krylov complexity in quantum field theory behaves qualitatively differently from the holographic complexity." @default.
- W4313446356 created "2023-01-06" @default.
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- W4313446356 date "2022-12-29" @default.
- W4313446356 modified "2023-10-18" @default.
- W4313446356 title "Krylov complexity in quantum field theory, and beyond" @default.
- W4313446356 doi "https://doi.org/10.48550/arxiv.2212.14429" @default.
- W4313446356 hasPublicationYear "2022" @default.
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