6533b83afe1ef96bd12a71ff
RESEARCH PRODUCT
Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude
Stephen R. SharpeMaxwell T. Hansensubject
PhysicsScattering amplitudeNuclear and High Energy PhysicsFormalism (philosophy of mathematics)Quantization (physics)Finite volume methodHigh Energy Physics - LatticeQuantum mechanicsHigh Energy Physics - Lattice (hep-lat)Energy spectrumFOS: Physical sciencesQuantum field theorydescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-12-16 |