Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tunnelling processes for Hadamard states through a 2+1 dimensional black
  hole and Hawking radiation   We analyse the local behaviour of the two-point correlation function of a
quantum state for a scalar field in a neighbourhood of a Killing horizon in a
$2+1$-dimensional spacetime, extending the work of Moretti and Pinamonti in a
$3+1$-dimensional scenario. In particular we show that, if the state is of
Hadamard form in such neighbourhood, similarly to the $3+1$-dimensional case,
under a suitable scaling limit towards the horizon, the two-point correlation
function exhibits a thermal behaviour at the Hawking temperature. Since the
whole analysis rests on the assumption that a Hadamard state exists in a
neighbourhood of the Killing horizon, we show that this is not an empty
condition by verifying it for a massive, real scalar field subject to Robin
boundary conditions in the prototypic example of a three dimensional black hole
background: the non-extremal, rotating BTZ spacetime.

30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph