Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inflaton field potential producing the exactly flat spectrum of
  adiabatic perturbations   Presented is the exact solution of the problem of finding a potential of an
inflaton scalar field for which adiabatic perturbations generated during a de
Sitter (inflationary) stage in the early Universe have the exactly flat (or,
the Harrison-Zeldovich) initial spectrum. This solution lies outside the scope
of the slow-roll approximation and higher-order corrections to it. The
potential found depends on two arbitrary physical constants, one of those
determines an amplitude of perturbations. For small (zero) values of the other
constant, a long (infinite) inflationary stage with slow rolling of the
inflaton field exists.

18
The categories of this paper are: econ
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas