Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inflation with a stringy minimal length, reworked   In this paper we revisit the formulation of scalar field theories on de
Sitter backgrounds subject to the generalized uncertainty principle (GUP). The
GUP arises in several contexts in string theory, but is most readily thought of
as resulting from using strings as effective probes of geometry, which suggests
an uncertainty relation incorporating the string scale $l_s$. After reviewing
the string theoretic case for the GUP, which implies a minimum length scale
$l_s$, we follow in the footsteps of Kempf and concern ourselves with how one
might write down field theories which respect the GUP. We uncover a new
representation of the GUP, which unlike previous studies, readily permits exact
analytical solutions for the mode functions of a scalar field on de Sitter
backgrounds. We find that scalar fields cannot be quantized on inflationary
backgrounds with a Hubble radius $H^{-1}$ smaller than the string scale,
implying a sensibly stringy (as opposed to Planckian) cutoff on the scale of
inflation resulting from the GUP. We also compute $(H l_s)^2$ corrections to
the two point correlation function analytically and comment on the future
prospects of observing such corrections in the fortunate circumstance our
universe is described by a very weakly coupled string theory.

9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom