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arXiv · 1504.04248

Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude

Maxwell T. Hansen·Stephen R. Sharpe
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Abstract

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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Maxwell T. Hansen, Stephen R. Sharpe. 2016-01-04. Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude. https://doi.org/10.1103/physrevd.92.114509

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