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Title: Conformally soft theorem in gauge theory

Abstract

Asymptotic particle states in four-dimensional celestial scattering amplitudes are labeled by their SL(2,C) Lorentz/conformal weights ($$h, \bar{h}$$) rather than the usual energy-momentum four-vector. These boost eigenstates involve a superposition of all energies. As such, celestial gluon (or photon) scattering cannot obey the usual (energetically) soft theorems. In this paper we show that tree-level celestial gluon scattering, in theories with sufficiently soft UV behavior, instead obeys conformally soft theorems involving $h$ → 0 or $$\bar{h}$$ → 0. Unlike the energetically soft theorem, the conformally soft theorem cannot be derived from low-energy effective field theory.

Authors:
ORCiD logo; ORCiD logo;
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1571686
Alternate Identifier(s):
OSTI ID: 1595980
Grant/Contract Number:  
SC0007870
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 8; 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; symmetries

Citation Formats

Pate, Monica, Raclariu, Ana-Maria, and Strominger, Andrew. Conformally soft theorem in gauge theory. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.085017.
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Pate, Monica, Raclariu, Ana-Maria, & Strominger, Andrew. Conformally soft theorem in gauge theory. United States. doi:10.1103/PhysRevD.100.085017.
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Pate, Monica, Raclariu, Ana-Maria, and Strominger, Andrew. Thu . "Conformally soft theorem in gauge theory". United States. doi:10.1103/PhysRevD.100.085017.
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@article{osti_1571686,
title = {Conformally soft theorem in gauge theory},
author = {Pate, Monica and Raclariu, Ana-Maria and Strominger, Andrew},
abstractNote = {Asymptotic particle states in four-dimensional celestial scattering amplitudes are labeled by their SL(2,C) Lorentz/conformal weights ($h, \bar{h}$) rather than the usual energy-momentum four-vector. These boost eigenstates involve a superposition of all energies. As such, celestial gluon (or photon) scattering cannot obey the usual (energetically) soft theorems. In this paper we show that tree-level celestial gluon scattering, in theories with sufficiently soft UV behavior, instead obeys conformally soft theorems involving $h$ → 0 or $\bar{h}$ → 0. Unlike the energetically soft theorem, the conformally soft theorem cannot be derived from low-energy effective field theory.},
doi = {10.1103/PhysRevD.100.085017},
journal = {Physical Review D},
number = 8,
volume = 100,
place = {United States},
year = {2019},
month = {10}
}
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Journal Article:
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DOI: 10.1103/PhysRevD.100.085017
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