Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards a quantum notion of covariance in spherically symmetric loop
  quantum gravity   The covariance of loop quantum gravity studies of spherically symmetric
space-times has recently been questioned. This is a reasonable worry, given
that they are formulated in terms of slicing-dependent variables. We show
explicitly that the resulting space-times, obtained from Dirac observables of
the quantum theory, are covariant in the usual sense of the way -- they
preserve the quantum line element -- for any gauge that is stationary (in the
exterior, if there is a horizon). The construction depends crucially on the
details of the Abelianized quantization considered, the satisfaction of the
quantum constraints and the recovery of standard general relativity in the
classical limit and suggests that more informal polymerization constructions of
possible semi-classical approximations to the theory can indeed have covariance
problems. This analysis is based on the understanding of how slicing dependent
quantities as the metric arise in a quantum context in terms of parameterized
observables. It has implications beyond loop quantum gravity that hold for
general approaches to quantum space time theories.

7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin