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

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...

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Bibliographic Details
Published in:Physical review letters 2018-05, Vol.120 (20), p.201601-201601, Article 201601
Main Authors: Hamada, Yuta, Shiu, Gary
Format: Article
Language:English
Subjects:
ASTRONOMY AND ASTROPHYSICS
Bosons
Gravitation
Gravitons
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Theorems
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.120.201601