Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete Gravity in One Dimension   A model for quantum gravity in one (time) dimension is discussed, based on
Regge's discrete formulation of gravity. The nature of exact continuous lattice
diffeomorphisms and the implications for a regularized gravitational measure
are examined. After introducing a massless scalar field coupled to the edge
lengths, the scalar functional integral is performed exactly on a finite
lattice, and the ensuing change in the measure is determined. It is found that
the renormalization of the cosmological constant due to the scalar field
fluctuations vanishes identically in one dimension. A simple decimation
renormalization group transformation is performed on the partition function and
the results are compared with the exact solution. Finally the properties of the
spectrum of the scalar Laplacian are compared with results obtained for a
Poissonian distribution of edge lengths.

9
The categories of this paper are: nlin
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg