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Title: Celestial current algebra from Low’s subleading soft theorem

Abstract

The leading soft photon theorem implies that four-dimensional scattering amplitudes are controlled by a two-dimensional (2D) U(1) Kac-Moody symmetry that acts on the celestial sphere at null infinity (I). This celestial U(1) current is realized by components of the electromagnetic vector potential on the boundaries of I. Here, we develop a parallel story for Low's subleading soft photon theorem. It gives rise to a second celestial current, which is realized by vector potential components that are subleading in the large radius expansion about the boundaries of I. The subleading soft photon theorem is reexpressed as a celestial Ward identity for this second current, which involves novel shifts by one unit in the conformal dimension of charged operators.

Authors:
;
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1560289
Alternate Identifier(s):
OSTI ID: 1595981
Grant/Contract Number:  
SC0007870; 1745303
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 6; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Gauge theories; Scattering amplitudes

Citation Formats

Himwich, Elizabeth, and Strominger, Andrew. Celestial current algebra from Low’s subleading soft theorem. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.065001.
Himwich, Elizabeth, & Strominger, Andrew. Celestial current algebra from Low’s subleading soft theorem. United States. doi:10.1103/PhysRevD.100.065001.
Himwich, Elizabeth, and Strominger, Andrew. Tue . "Celestial current algebra from Low’s subleading soft theorem". United States. doi:10.1103/PhysRevD.100.065001.
@article{osti_1560289,
title = {Celestial current algebra from Low’s subleading soft theorem},
author = {Himwich, Elizabeth and Strominger, Andrew},
abstractNote = {The leading soft photon theorem implies that four-dimensional scattering amplitudes are controlled by a two-dimensional (2D) U(1) Kac-Moody symmetry that acts on the celestial sphere at null infinity (I). This celestial U(1) current is realized by components of the electromagnetic vector potential on the boundaries of I. Here, we develop a parallel story for Low's subleading soft photon theorem. It gives rise to a second celestial current, which is realized by vector potential components that are subleading in the large radius expansion about the boundaries of I. The subleading soft photon theorem is reexpressed as a celestial Ward identity for this second current, which involves novel shifts by one unit in the conformal dimension of charged operators.},
doi = {10.1103/PhysRevD.100.065001},
journal = {Physical Review D},
number = 6,
volume = 100,
place = {United States},
year = {2019},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.100.065001

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Cited by: 1 work
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