Krylov complexity in free and interacting scalar field theories with bounded power spectrum
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Publication:6105336
DOI10.1007/JHEP05(2023)226arXiv2212.14702MaRDI QIDQ6105336
Author name not available (Why is that?)
Publication date: 26 June 2023
Published in: (Search for Journal in Brave)
Abstract: We study a notion of operator growth known as Krylov complexity in free and interacting massive scalar quantum field theories in -dimensions at finite temperature. We consider the effects of mass, one-loop self-energy due to perturbative interactions, and finite ultraviolet cutoffs in continuous momentum space. These deformations change the behavior of Lanczos coefficients and Krylov complexity and induce effects such as the "staggering" of the former into two families, a decrease in the exponential growth rate of the latter, and transitions in their asymptotic behavior. We also discuss the relation between the existence of a mass gap and the property of staggering, and the relation between our ultraviolet cutoffs in continuous theories and lattice theories.
Full work available at URL: https://arxiv.org/abs/2212.14702
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