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Learning scattering amplitudes by heart

High Energy Physics - Theory 2021-09-02 v4 High Energy Physics - Phenomenology Mathematical Physics math.MP Quantum Algebra Representation Theory

Abstract

The canonical forms associated to scattering amplitudes of planar Feynman diagrams are interpreted in terms of masses of projectives, defined as the modulus of their central charges, in the hearts of certain tt-structures of derived categories of quiver representations and, equivalently, in terms of cluster tilting objects of the corresponding cluster categories.

Keywords

Cite

@article{arxiv.2101.02884,
  title  = {Learning scattering amplitudes by heart},
  author = {Severin Barmeier and Koushik Ray},
  journal= {arXiv preprint arXiv:2101.02884},
  year   = {2021}
}

Comments

18 pages, 6 figures, LaTeX2e, final version

R2 v1 2026-06-23T21:54:28.460Z