Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Casimir effect in Lorentz-violating scalar field theory: a local
  approach   We study the Casimir effect in the classical geometry of two parallel
conductive plates, separated by a distance $L$, for a Lorentz-breaking
extension of the scalar field theory. The Lorentz-violating part of the theory
is characterized by the term $\lambda \left( u \cdot \partial \phi \right
)^{2}$, where the parameter $\lambda$ and the background four-vector $u ^{\mu}$
codify Lorentz symmetry violation. We use Green's function techniques to study
the local behavior of the vacuum stress-energy tensor in the region between the
plates. Closed analytical expressions are obtained for the Casimir energy and
pressure. We show that the energy density $\mathcal{E}_{C}$ (and hence the
pressure) can be expressed in terms of the Lorentz-invariant energy density
$\mathcal{E}_{0}$ as follows \begin{align}
  \mathcal{E}_{C} (L) = \sqrt{\frac{1-\lambda u_{n} ^{2}}{1 + \lambda u ^{2}}}
\mathcal{E}_{0} (\tilde{L}) , \notag \end{align} where $\tilde{L} = L /
\sqrt{1-\lambda u_{n} ^{2}}$ is a rescaled plate-to-plate separation and
$u_{n}$ is the component of $\vec{{u}}$ along the normal to the plates. As
usual, divergences of the local Casimir energy do not contribute to the
pressure.

11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin