Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement at a Scale and Renormalization Monotones   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.

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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex