Completing Multiparticle Representations of the Poincaré Group

Csaba Csáki, Sungwoo Hong, Yuri Shirman, Ofri Telem, John Terning

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12 Scopus citations

Abstract

We extend the definition of asymptotic multiparticle states of the S-matrix beyond the tensor products of one-particle states. We identify new quantum numbers called pairwise helicities, or qij, associated with asymptotically separated pairs of particles. We first treat all single particles and particle pairs independently, allowing us to generalize the Wigner construction, and ultimately projecting onto the physical states. Our states reduce to tensor product states for vanishing qij, while for vanishing spins they reproduce Zwanziger's scalar dyon states. This construction yields the correct asymptotic states for the scattering of electric and magnetic charges, with pairwise helicity identified as qij=eigj-ejgi.

Original languageAmerican English
Article number041601
JournalPhysical Review Letters
Volume127
Issue number4
DOIs
StatePublished - 23 Jul 2021
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2021 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

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