Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The cosmological constant and higher dimensional dilatation symmetry   We discuss the hypothesis of a fixed point for quantum gravity coupled to a
scalar, in the limit where the scalar field goes to infinity, accompanied by a
suitable scaling of the metric. We propose that no scalar potential is present
for the dilatation symmetric quantum effective action at the fixed point.
Dimensional reduction of such a higher dimensional effective action leads to
solutions with a vanishing effective four-dimensional constant. Under rather
general circumstances these are the only quasistatic stable solutions with
finite four-dimensional gravitational constant. If cosmological runaway
solutions approach the fixed point as time goes to infinity, the cosmological
constant vanishes asymptotically. For our old Universe the fixed point is not
yet reached completely, resulting in a tiny amount of dark energy, comparable
to dark matter. We discuss explicitly higher dimensional geometries which
realize such asymptotic solutions for $t\to\infty$. They include Ricci-flat
spaces as well as warped spaces, potentially with singularities.

36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org