Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform discretizations: a quantization procedure for totally
  constrained systems including gravity   We present a new method for the quantization of totally constrained systems
including general relativity. The method consists in constructing discretized
theories that have a well defined and controlled continuum limit. The discrete
theories are constraint-free and can be readily quantized. This provides a
framework where one can introduce a relational notion of time and that
nevertheless approximates in a well defined fashion the theory of interest. The
method is equivalent to the group averaging procedure for many systems where
the latter makes sense and provides a generalization otherwise. In the
continuum limit it can be shown to contain, under certain assumptions, the
``master constraint'' of the ``Phoenix project''. It also provides a
correspondence principle with the classical theory that does not require to
consider the semiclassical limit.

3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin