Two-dimensional S-matrices from unitarity cuts
Abstract
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 x S^5 superstring we reproduce, at one-loop in the near-BMN expansion, the S-matrix known from integrability techniques.
Cite
@article{arxiv.1304.1798,
title = {Two-dimensional S-matrices from unitarity cuts},
author = {Lorenzo Bianchi and Valentina Forini and Ben Hoare},
journal= {arXiv preprint arXiv:1304.1798},
year = {2015}
}
Comments
23 pages, 1 figure; v2: 24 pages, minor corrections, reference and note added; v3: minor typos corrected