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

Hansen, Maxwell T.; Sharpe, Stephen R.

doi:10.1103/PhysRevD.92.114509

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

Apr 16, 2015

20 pages

Published in:

Phys.Rev.D 92 (2015) 11, 114509

Published: Dec 16, 2015

e-Print:

1504.04248 [hep-lat]

DOI:

10.1103/PhysRevD.92.114509

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Abstract: (APS)

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, M3. In previous work [Phys. Rev. D 90, 116003 (2014)], we found a quantization condition relating the spectrum to a nonstandard infinite-volume quantity, denoted Kdf,3. Here we present the relation between Kdf,3 and M3. We then discuss briefly how our now completed formalism can be practically implemented to extract M3 from the finite-volume energy spectrum.

Note:

24 pages, 6 figures, v2: added motivation in the introduction, added figure to clarify explanations, results unchanged---matches published version

11.80.-m
11.80.Jy
11.80.La
12.38.Gc
field theory: scalar
finite size: effect
scattering amplitude
energy spectrum
quantization
three-body problem

References(13)

Figures(5)

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