Two-dimensional S-matrices from unitarity cuts

Bianchi, Lorenzo; Forini, Valentina; Hoare, Ben

doi:10.1007/JHEP07(2013)088

Two-dimensional S-matrices from unitarity cuts

Lorenzo Bianchi
(
- Humboldt U., Berlin
)
,
Valentina Forini
(
- Humboldt U., Berlin
)
,
Ben Hoare
(
- Humboldt U., Berlin
)

Apr 5, 2013

24 pages

Published in:

JHEP 07 (2013) 088

e-Print:

1304.1798 [hep-th]

DOI:

10.1007/JHEP07(2013)088

Report number:

HU-EP-13-17

View in:

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Abstract: (Springer)

Using unitarity methods, we compute, for several massive two-dimensional models, the cut-constructible part of the one-loop 2 → 2 scattering S-matrices from the tree-level amplitudes. We apply our method to various integrable theories, finding evidence that for supersymmetric models the one-loop S-matrix is cut-constructible, while for models without supersymmetry (but with integrability) the missing rational terms are proportional to the tree-level S-matrix and therefore can be interpreted as a shift in the coupling. Finally, applying our procedure to the world-sheet theory for the light-cone gauge-fixed AdS(5) × S (5) superstring we reproduce, at one-loop in the near-BMN expansion, the S-matrix known from integrability techniques.

Note:

23 pages, 1 figure; v2: 24 pages, minor corrections, reference and note added; v3: minor typos corrected

Field Theories in Lower Dimensions
AdS-CFT Correspondence
Integrable Field Theories
dimension: 2
S-matrix
integrability
tree approximation
supersymmetry
unitarity
superstring

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