Krylov complexity in quantum field theory
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Publication:6173589
DOI10.1016/J.NUCLPHYSB.2023.116263zbMATH Open1529.81085arXiv2204.02250MaRDI QIDQ6173589
Author name not available (Why is that?)
Publication date: 21 July 2023
Published in: (Search for Journal in Brave)
Abstract: In this paper, we study the Krylov complexity in quantum field theory and make a connection with the holographic "Complexity equals Volume" conjecture. When Krylov basis matches with Fock basis, for several interesting settings, we observe that the Krylov complexity equals the average particle number showing that complexity scales with volume. Using similar formalism, we compute the Krylov complexity for free scalar field theory and find surprising similarities with holography. We also extend this framework for field theory where an inverted oscillator appears naturally and explore its chaotic behavior.
Full work available at URL: https://arxiv.org/abs/2204.02250
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