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:
- 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.
Pate, Monica, Raclariu, Ana-Maria, & Strominger, Andrew. Conformally soft theorem in gauge theory. United States. doi:10.1103/PhysRevD.100.085017.
Pate, Monica, Raclariu, Ana-Maria, and Strominger, Andrew. Thu .
"Conformally soft theorem in gauge theory". United States. doi:10.1103/PhysRevD.100.085017.
@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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Publisher's Version of Record
DOI: 10.1103/PhysRevD.100.085017
DOI: 10.1103/PhysRevD.100.085017
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Cited by: 7 works
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