Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic safety and field parametrization dependence in the f(R)
  truncation   We study the dependence on field parametrization of the functional
renormalization group equation in the $f(R)$ truncation for the effective
average action. We perform a systematic analysis of the dependence of fixed
points and critical exponents in polynomial truncations. We find that, beyond
the Einstein-Hilbert truncation, results are qualitatively different depending
on the choice of parametrization. In particular, we observe that there are two
different classes of fixed points, one with three relevant directions and the
other with two. The computations are performed in the background approximation.
We compare our results with the available literature and analyze how different
schemes in the regularizations can affect the fixed point structure.

28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
18
The categories of this paper are: econ
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int