Strings from massive higher spins: the asymptotic uniqueness of the Veneziano amplitude

Simon Caron-Huot, Zohar Komargodski, Amit Sever*, Alexander Zhiboedov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We consider weakly coupled theories of massive higher-spin particles. This class of models includes, for instance, tree-level String Theory and Large-N Yang-Mills theory. The S-matrix in such theories is a meromorphic function obeying unitarity and crossing symmetry. We discuss the (unphysical) regime s, t ≫ 1, in which we expect the amplitude to be universal and exponentially large. We develop methods to study this regime and show that the amplitude necessarily coincides with the Veneziano amplitude there. In particular, this implies that the leading Regge trajectory, j(t), is asymptotically linear in Yang-Mills theory. Further, our analysis shows that any such theory of higherspin particles has stringy excitations and infinitely many asymptotically parallel subleading trajectories. More generally, we argue that, under some assumptions, any theory with at least one higher-spin particle must have strings.

Original languageEnglish
Article number26
JournalJournal of High Energy Physics
Volume2017
Issue number10
DOIs
StatePublished - 1 Oct 2017

Keywords

  • 1/N Expansion
  • Confinement
  • Long strings
  • Scattering Amplitudes

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