Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Steps towards Lorentzian quantum gravity with causal sets   Causal set quantum gravity is a Lorentzian approach to quantum gravity, based
on the causal structure of spacetime. It models each spacetime configuration as
a discrete causal network of spacetime points. As such, key questions of the
approach include whether and how a reconstruction of a sufficiently
coarse-grained spacetime geometry is possible from a causal set. As an example
for the recovery of spatial geometry from discrete causal structure, the
construction of a spatial distance function for causal sets is reviewed.
Secondly, it is an open question whether the path sum over all causal sets
gives rise to an expectation value for the causal set that corresponds to a
cosmologically viable spacetime. To provide a tool to tackle the path sum over
causal sets, the derivation of a flow equation for the effective action for
causal sets in matrix-model language is reviewed. This could provide a way to
coarse-grain discrete networks in a background-independent way. Finally, a
short roadmap to test the asymptotic-safety conjecture in Lorentzian quantum
gravity using causal sets is sketched.

36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics