Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropic order parameters for the phases of QFT   We propose entropic order parameters that capture the physics of generalized
symmetries and phases in QFT's. We do it through an analysis of simple
properties (additivity and Haag duality) of the net of operator algebras
attached to space-time regions. We observe that different types of symmetries
are associated with the breaking of these properties in regions of different
non-trivial topologies. When such topologies are connected, we show that the
non locally generated operators generate an Abelian symmetry group, and their
commutation relations are fixed. The existence of order parameters with area
law, like the Wilson loop for the confinement phase, or the 't Hooft loop for
the dual Higgs phase, is shown to imply the existence of more than one possible
choice of algebras for the same underlying theory. A natural entropic order
parameter arises by this non-uniqueness. We display aspects of the phases of
theories with generalized symmetries in terms of these entropic order
parameters. In particular, the connection between constant and area laws for
dual order and disorder parameters is transparent in this approach, new
constraints arising from conformal symmetry are revealed, and the algebraic
origin of the Dirac quantization condition (and generalizations thereof) is
described. A novel tool in this approach is the entropic certainty relation
satisfied by dual relative entropies associated with complementary regions,
which quantitatively relates the statistics of order and disorder parameters.

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The categories of this paper are: stat
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The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an