Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Casimir Interaction Between a Plane and a Sphere: Correction to the
  Proximity-Force Approximation at Intermediate Temperatures   We consider the Casimir interaction energy between a plane and a sphere of
radius $R$ at finite temperature $T$ as a function of the distance of closest
approach $L$. Typical experimental conditions are such that the thermal
wavelength $\lambda_T=\hbar c/k_\mathrm{B}T$ satisfies the condition $L\ll
\lambda_T\ll R$. We derive the leading correction to the proximity-force
approximation valid for such intermediate temperatures by developing the
scattering formula in the plane-wave basis. Our analytical result captures the
joint effect of the spherical geometry and temperature and is written as a sum
of temperature-dependent logarithmic terms. Surprisingly, two of the
logarithmic terms arise from the Matsubara zero-frequency contribution.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ