Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real-Space Renormalization Group for Quantum Gravity I: Significance of
  terms linear and quadratic in curvature   Real-Space renormalization group techniques are developed for tackling large
curvature fluctuations in quantum gravity. Within cells of invariant volume
$a^4$, only certain types of fluctuations are allowed. Normal coordinates are
used to avoid redundancy of the degrees of freedom. The relevant integration
measure is read off from the metric on metrics. All fluctuations in a group of
cells are averaged over to get an effective action for the larger cell. In this
paper the simplest type of fluctuations are kept. The measure is simply an
integration over independent components of the curvature tensor at the center
of each cell. Terms of higher order in $a$ are required for convergence in case
of Einstein-Hilbert action. With only next order (in $a$) contribution to the
action, there is no renormalization of Newton's or cosmological constants. The
`massless Gaussian surface' in the renormalization group space is given by
actions that have linear and quadratic terms in curvature and determines the
evolution of coupling constants away from it. Our techniques allow for
systematic improvements.

26
The categories of this paper are: bayes-an
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
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
10
The categories of this paper are: q-bio