Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The polymer quantization in LQG: massless scalar field   The polymer quantization of matter fields is a diffeomorphism invariant
framework compatible with Loop Quantum Gravity. Whereas studied by itself, it
is not explic- itly used in the known completely quantizable models of matter
coupled to LQG. In the current paper we apply the polymer quantization to the
model of massless scalar field coupled to LQG. We show that the polymer Hilbert
space of the field degrees of freedom times the LQG Hilbert space of the
geometry degrees of freedom admit the quantum constraints of GR and accommodate
their explicit solutions. In this way the quantization can be completed. That
explicit way of solving the quantum constraints suggests interesting new ideas.

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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th