Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic freedom of Yang-Mills theory with gravity   We study the behaviour of Yang-Mills theory under the inclusion of gravity.
In the weak- gravity limit, the running gauge coupling receives no contribution
from the gravitational sector, if all symmetries are preserved. This holds true
with and without cosmological constant. We also show that asymptotic freedom
persists in general field-theory-based gravity scenarios including
gravitational shielding as well as asymptotically safe gravity.

22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys