Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inhomogeneity-related cutoff dependence of the Casimir energy and stress   The cutoff dependence of the Casimir energy and stress is studied using the
Green's function method for a system that is piecewise-smoothly inhomogeneous
along one dimension. The asymptotic cylinder kernel expansions of the energy
and stress are obtained, with some extra cutoff terms that are induced by the
inhomogeneity. Introducing interfaces to the system one by one shows how those
cutoff terms emerge and illuminates their physical interpretations. Based on
that, we propose a subtraction scheme to address the problem of the remaining
cutoff dependence in the Casimir stress in an inhomogeneous medium, and show
that the nontouching Casimir force between two separated bodies is cutoff
independent. The cancellation of the electric and magnetic contributions to the
surface divergence near a perfectly conducting wall is found to be incomplete
in the case of inhomogeneity.

17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio