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Title: Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities

Abstract

We show that the soft photon, gluon, and graviton theorems can be understood as the Ward-Takahashi identities of large gauge transformation, i.e., diffeomorphism that does not fall off at spatial infinity. We found infinitely many new identities which constrain the higher order soft behavior of the gauge bosons and gravitons in scattering amplitudes of gauge and gravity theories. Diagrammatic representations of these soft theorems are presented.

Authors:
;
Publication Date:
Research Org.:
Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Org.:
USDOE; Japan Society for the JSPS Fellows
OSTI Identifier:
1437072
Alternate Identifier(s):
OSTI ID: 1498968
Grant/Contract Number:  
SC0017647
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 120 Journal Issue: 20; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Hamada, Yuta, and Shiu, Gary. Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.120.201601.
Hamada, Yuta, & Shiu, Gary. Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities. United States. doi:10.1103/PhysRevLett.120.201601.
Hamada, Yuta, and Shiu, Gary. Mon . "Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities". United States. doi:10.1103/PhysRevLett.120.201601.
@article{osti_1437072,
title = {Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities},
author = {Hamada, Yuta and Shiu, Gary},
abstractNote = {We show that the soft photon, gluon, and graviton theorems can be understood as the Ward-Takahashi identities of large gauge transformation, i.e., diffeomorphism that does not fall off at spatial infinity. We found infinitely many new identities which constrain the higher order soft behavior of the gauge bosons and gravitons in scattering amplitudes of gauge and gravity theories. Diagrammatic representations of these soft theorems are presented.},
doi = {10.1103/PhysRevLett.120.201601},
journal = {Physical Review Letters},
number = 20,
volume = 120,
place = {United States},
year = {2018},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevLett.120.201601

Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1. FIG. 1. : The Feynman diagrams which contribute to the lhs of the WT identity. The black dot represents the insertion of the current $J$0. There are infinitely many diagrams where $n$ legs attach with $J$0, and we show the first three diagrams here. Since the intermediate state should bemore » a Nambu-Goldstone (NG) one particle state, only the first diagram gives contribution at tree level.« less

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    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.