Entanglement at a scale and renormalization monotones
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13130_2019_Article_9857.pdf
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Author(s)
Lashkari, Nima
Date Issued
January 2019
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Lashkari, Nima et al. "Entanglement at a scale and renormalization monotones." Journal of High Energy Physics 2019 (January 2019): 219 © 2019 The Author(s)
Version
Final published version
Abstract
We study the information content of the reduced density matrix of a region in quantum field theory that cannot be recovered from its subregion density matrices. We reconstruct the density matrix from its subregions using two approaches: scaling maps and recovery maps. The vacuum of a scale-invariant field theory is the fixed point of both transformations. We define the entanglement of scaling and the entanglement of recovery as measures of entanglement that are intrinsic to the continuum limit. Both measures increase monotonically under the renormalization group flow. This provides a unifying information-theoretic structure underlying the different approaches to the renormalization monotones in various dimensions. Our analysis applies to non-relativistic quantum field theories as well the relativistic ones, however, in relativistic case, the entanglement of scaling can diverge. Keywords: Field Theories in Higher Dimensions; Nonpertubative Effects; Renormalization Group
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/JHEP01(2019)219
