Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Expressing the three-particle finite-volume spectrum in terms of the
  three-to-three scattering amplitude   In this article we complete our formalism relating the finite-volume energy
spectrum of a scalar quantum field theory to the three-to-three scattering
amplitude, ${\cal M}_3$. In previous work we found a quantization condition
relating the spectrum to a non-standard infinite-volume quantity, denoted
${\cal K}_{{\rm df},3}$. Here we present the relation between ${\cal K}_{{\rm
df},3}$ and ${\cal M}_3$. We then discuss briefly how our now completed
formalism can be practically implemented to extract ${\cal M}_3$ from the
finite-volume energy spectrum.

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The categories of this paper are: dg-ga
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The categories of this paper are: stat
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th