Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the covariant formalism of the effective field theory of gravity and
  leading order corrections   We construct the covariant effective field theory of gravity as an expansion
in inverse powers of the Planck mass, identifying the leading and
next-to-leading quantum corrections. We determine the form of the effective
action for the cases of pure gravity with cosmological constant as well as
gravity coupled to matter. By means of heat kernel methods we renormalize and
compute the leading quantum corrections to quadratic order in a curvature
expansion. The final effective action in our covariant formalism is generally
non-local and can be readily used to understand the phenomenology on different
spacetimes. In particular, we point out that on curved backgrounds the
observable leading quantum gravitational effects are less suppressed than on
Minkowski spacetime.

29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex