Tropical Amplitudes

@article{Tourkine2013TropicalA,
  title={Tropical Amplitudes},
  author={P. Tourkine},
  journal={Annales Henri Poincar{\'e}},
  year={2013},
  volume={18},
  pages={2199-2249}
}
  • P. Tourkine
  • Published 2013
  • Physics, Mathematics
  • Annales Henri Poincaré
  • In this work, we argue that the $$\alpha '\rightarrow 0$$α′→0 limit of closed string theory scattering amplitudes is a tropical limit. The motivation is to develop a technology to systematize the extraction of Feynman graphs from string theory amplitudes at higher genus. An important technical input from tropical geometry is the use of tropical theta functions with characteristics to rigorously derive the worldline limit of the worldsheet propagator. This enables us to perform a non-trivial… CONTINUE READING
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