Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A renormalization group improved non-local gravitational effective
  Lagrangian   Renormalization group techniques are used in order to obtain the improved
non-local gravitational effective action corresponding to any asymptotically
free GUT, up to invariants which are quadratic on the curvature. The
corresponding non-local gravitational equations are written down, both for the
case of asymptotically free GUTs and also for quantum R$^2$-gravity. The
implications of the results when obtaining the flux of vacuum radiation through
the future null infinity are briefly discussed.

8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio