Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The renormalization group for non-renormalizable theories: Einstein
  gravity with a scalar field   We develop a renormalization-group formalism for non-renormalizable theories
and apply it to Einstein gravity theory coupled to a scalar field with the
Lagrangian $L=\sqrt{g} [R U(\phi)-{1/2} G(\phi) g^{\mu\nu} \partial_{\mu}\phi
\partial_{\nu}\phi- V(\phi)]$, where $U(\phi), G(\phi)$ and $V(\phi)$ are
arbitrary functions of the scalar field. We calculate the one-loop counterterms
of this theory and obtain a system of renormalization-group equations in
partial derivatives for the functions $U, G$ and $V$ playing the role of
generalized charges which substitute for the usual charges in multicharge
theories. In the limit of a large but slowly varying scalar field and small
spacetime curvature this system gives the asymptotic behaviour of the
generalized charges compatible with the conventional choice of these functions
in quantum cosmological applications. It also demonstrates in the
over-Planckian domain the existence of the Weyl-invariant phase of gravity
theory asymptotically free in gravitational and cosmological constants.

6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an