Completing Multiparticle Representations of the Poincaré Group

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

doi:10.1103/PhysRevLett.127.041601

Completing Multiparticle Representations of the Poincaré Group

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

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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 language	English
Article number	041601
Journal	Physical Review Letters
Volume	127
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevLett.127.041601
State	Published - 23 Jul 2021
Externally published	Yes

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© 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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Completing Multiparticle Representations of the Poincaré Group

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