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Complexity in the presence of a boundary

Braccia, P.
•
Cotrone, A. L.
•
Tonni, E.
2020
  • journal article

Periodico
JOURNAL OF HIGH ENERGY PHYSICS
Abstract
The effects of a boundary on the circuit complexity are studied in two dimensional theories. The analysis is performed in the holographic realization of a conformal field theory with a boundary by employing different proposals for the dual of the complexity, including the “Complexity = Volume” (CV) and “Complexity = Action” (CA) prescriptions, and in the harmonic chain with Dirichlet boundary conditions. In all the cases considered except for CA, the boundary introduces a subleading logarithmic divergence in the expansion of the complexity as the UV cutoff vanishes. Holographic subregion complexity is also explored in the CV case, finding that it can change discontinuously under continuous variations of the configuration of the subregion.
DOI
10.1007/JHEP02(2020)051
WOS
WOS:000513665200001
Archivio
http://hdl.handle.net/20.500.11767/110908
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85079178235
https://arxiv.org/abs/1910.03489
Diritti
open access
Soggetti
  • AdS-CFT Correspondenc...

  • Boundary Quantum Fiel...

  • Lattice Quantum Field...

  • Settore FIS/02 - Fisi...

Scopus© citazioni
20
Data di acquisizione
Jun 14, 2022
Vedi dettagli
Web of Science© citazioni
28
Data di acquisizione
Mar 28, 2024
Visualizzazioni
4
Data di acquisizione
Apr 19, 2024
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