Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular Quantum Mechanical Viewpoint of Localized Gravity in
  Brane-World Scenario   The graviton localized on the 3-brane is examined in Randall-Sundrum
brane-world scenario from the viewpoint of one-dimensional singular quantum
mechanics. For the Randall-Sundrum single brane scenario the one-parameter
family of the fixed-energy amplitude is explicitly computed where the free
parameter $\xi$ parametrizes the various boundary conditions at the brane. The
general criterion for the localized graviton to be massless is derived when
$\xi$ is arbitrary but non-zero. When $\xi=0$, the massless graviton is
obtained via a coupling constant renormalization. For the two branes picture
the fixed-energy amplitude is in general dependent on the two free parameters.
The numerical test indicates that there is no massless graviton in this
picture. For the positive-tension brane, however, the localized graviton
becomes massless when the distance between branes are infinitely large, which
is essentially identical to the single brane picture. For the negative-tension
brane there is no massless graviton regardless of the distance between branes
and choice of boundary conditions.

2
The categories of this paper are: math
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin