Zwanziger’s pairwise little group on the celestial sphere

Lippstreu, Luke

doi:10.1007/jhep11(2021)051

Zwanziger’s pairwise little group on the celestial sphere

Journal Article · Tue Nov 09 00:00:00 EST 2021 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep11(2021)051· OSTI ID:1976574

Lippstreu, Luke ^[1]

Brown University, Providence, RI (United States); Brown Univ., Providence, RI (United States)

We generalize Zwanziger’s pairwise little group to include a boost subgroup. We do so by working in the celestial sphere representation of scattering amplitudes. We propose that due to late time soft photon and graviton exchanges, matter particles in the asymptotic states in massless QED and gravity transform under the Poincaré group with an additional pair of pairwise celestial representations for each pair of matter particles. We demonstrate that the massless abelian and gravitational exponentiation theorems are consistent with the proposed pairwise Poincaré transformation properties. For massless QED we demonstrate that our results are consistent with the effects of the Faddeev-Kulish dressing and the abelian exponentiation theorem for celestial amplitudes found in arXiv:2012.04208. We discuss electric and magnetic charges simultaneously as it is especially natural to do so in this formalism.

View Accepted Manuscript (DOE)

Research Organization:: Brown University, Providence, RI (United States)

Sponsoring Organization:: USDOE Office of Science (SC); USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0010010

OSTI ID:: 1976574

Alternate ID(s):: OSTI ID: 2570481

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2021; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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