Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Notes on a few quasilocal properties of Yang-Mills theory   Gauge theories possess non-local features that, in the presence of
boundaries, inevitably lead to subtleties. In this article, we continue our
study of a unified solution based on a geometric tool operating on field-space:
a connection form. We specialize to the $D+1$ formulation of Yang-Mills
theories on configuration space, and we precisely characterize the gluing of
the Yang-Mills field across regions. In the $D+1$ formalism, the
connection-form splits the electric degrees of freedom into their
pure-radiative and Coulombic components, rendering the latter as conjugate to
the pure-gauge part of the gauge potential. Regarding gluing, we obtain a
characterization for topologically simple regions through closed formulas.
These formulas exploit the properties of a generalized Dirichlet-to-Neumann
operator defined at the gluing surface; through them, we find only the
radiative components and the local charges are relevant for gluing. Finally, we
study the gluing into topologically non-trivial regions in 1+1 dimensions. We
find that in this case, the regional radiative modes do not fully determine the
global radiative mode (Aharonov-Bohm phases). For the global mode takes a new
contribution from the kernel of the gluing formula, a kernel which is
associated to non-trivial cohomological cycles. In no circumstances do we find
a need for postulating new local degrees of freedom at boundaries. $\text{The
partial results of these notes have been completed and substantially clarified
in a more recent, comprehensive article from October 2019. (titled: "The
quasilocal degrees of freedom of Yang-Mills theory").}$

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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
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The categories of this paper are: physics
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ