Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local modes, local vacuum, local bogoljubov coefficients and the
  renormalised stress tensor   Local modes and local particles are defined at any point in curved space time
as those that most resemble Minkowsky modes at that point. It is shown that the
renormalised stress tensor is the difference of energy between the physical
vacuum and that defined by these local modes.

29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom