Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stueckelberg massive electromagnetism in curved spacetime: Hadamard
  renormalization of the stress-energy tensor and the Casimir effect   We discuss Stueckelberg massive electromagnetism on an arbitrary
four-dimensional curved spacetime (gauge invariance of the classical theory and
covariant quantization, wave equations for the massive spin-1 field $A_\mu$,
for the auxiliary Stueckelberg scalar field $\Phi$ and for the ghost fields $C$
and $C^\ast$, Ward identities, Hadamard representation of the various Feynman
propagators and covariant Taylor series expansions of the corresponding
coefficients). This permits us to construct, for a Hadamard quantum state, the
expectation value of the renormalized stress-energy tensor associated with the
Stueckelberg theory. We provide two alternative but equivalent expressions for
this result. The first one is obtained by removing the contribution of the
"Stueckelberg ghost" $\Phi$ and only involves state-dependent and geometrical
quantities associated with the massive vector field $A_\mu$. The other one
involves contributions coming from both the massive vector field and the
auxiliary Stueckelberg scalar field, and it has been constructed in such a way
that, in the zero-mass limit, the massive vector field contribution reduces
smoothly to the result obtained from Maxwell's theory. As an application of our
results, we consider the Casimir effect outside a perfectly conducting medium
with a plane boundary. We discuss the results obtained using Stueckelberg but
also de Broglie-Proca electromagnetism and we consider the zero-mass limit of
the vacuum energy in both theories. We finally compare the de Broglie-Proca and
Stueckelberg formalisms and highlight the advantages of the Stueckelberg point
of view, even if, in our opinion, the de Broglie-Proca and Stueckelberg
approaches of massive electromagnetism are two faces of the same field theory.

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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom