TY - JOUR

T1 - Strings from massive higher spins

T2 - the asymptotic uniqueness of the Veneziano amplitude

AU - Caron-Huot, Simon

AU - Komargodski, Zohar

AU - Sever, Amit

AU - Zhiboedov, Alexander

N1 - Publisher Copyright:
© 2017, The Author(s).

PY - 2017/10/1

Y1 - 2017/10/1

N2 - 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.

AB - 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.

KW - 1/N Expansion

KW - Confinement

KW - Long strings

KW - Scattering Amplitudes

UR - http://www.scopus.com/inward/record.url?scp=85031100029&partnerID=8YFLogxK

U2 - 10.1007/JHEP10(2017)026

DO - 10.1007/JHEP10(2017)026

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AN - SCOPUS:85031100029

SN - 1126-6708

VL - 2017

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 10

M1 - 26

ER -