Related papers: Krylov Complexity in Free and Interacting Scalar Field Theories with Bounded Power Spectrum

Krylov Complexity in Free and Interacting Scalar Field Theories with Bounded Power Spectrum

URL: http://arxiv.org/abs/2212.14702v4
Date: Mon, 1 Apr 2024 01:24:55 GMT
Title: Krylov Complexity in Free and Interacting Scalar Field Theories with Bounded Power Spectrum
Authors: Hugo A. Camargo, Viktor Jahnke, Keun-Young Kim, Mitsuhiro Nishida,
Abstract summary: We study a notion of operator growth known as Krylov complexity in free and interacting massive scalar quantum field theories. We consider the effects of mass, one-loop self-energy due to perturbative interactions, and finite ultraviolet cutoffs in continuous momentum space.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We study a notion of operator growth known as Krylov complexity in free and interacting massive scalar quantum field theories in $d$-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.

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