Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Mechanical Response of Vacuum   A path integral formulation is developed for the dynamic Casimir effect. It
allows us to study arbitrary deformations in space and time of the perfectly
reflecting (conducting) boundaries of a cavity. The mechanical response of the
intervening vacuum is calculated to linear order in the frequency-wavevector
plane. For a single corrugated plate we find a correction to mass at low
frequencies, and an effective shear viscosity at high frequencies; both
anisotropic. For two plates there is resonant dissipation for all frequencies
greater than the lowest optical mode of the cavity.

16
The categories of this paper are: stat
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex