Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum metrics with very low action in $R+R^2$ gravity   We have run numerical simulations of Euclidean lattice quantum gravity for
metrics which are time-independent and spherically symmetric. The radial
variable is discretized as $r=hL_{Planck}$, with $h=0,1,...,N$ and $N$ up to
$10^5$. The Lagrangian is of the form $\sqrt{g}(R+\alpha R^2)$ (in units
$c=\hbar=G=1$) and the action is positive-definite, allowing the use of a
standard Metropolis algorithm with update probability $\exp(-\beta \Delta S)$.
By minimizing the $R+R^2$ action with respect to conformal modes, Bonanno and
Reuter have recently found analytical evidence of a non-trivial "rippled"
ground state resembling a kinetic condensate of QCD. Our simulations at low but
finite temperature ($T=\beta^{-1}$) also display strong localized oscillations
of the metric, whose total action $S$ remains $\ll \hbar$ thanks to the
indefinite sign of $R$. The average metric $\langle g_{rr} \rangle$ is
significantly different from flat space. The scaling properties of $S$ and
$\langle g_{rr} \rangle$ are investigated in dependence on $N$ and $\beta$.

4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph