Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Feynman Amplitudes in Periodically Compactified Spaces -- Spin 0   We propose an extension of the Schwinger parametric representation for
Feynman amplitudes in $D$ euclidean dimensions to a scenario where $d$
dimensions are compactified ($d<D$) through the introduction of periodic
boundary conditions in space. We obtain two valid representations, one useful
near the bulk (large compactification length) and another useful near the
dimensional reduction (small compactification length). Also, to illustrate, we
exhibit some Feynman amplitudes up to three loops in a compactified scalar
field theory.

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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex