On the classical limit of the (sub)n-leading soft graviton theorems in D = 4 without deflection

A bstract Tree-level gravitational amplitudes satisfy an infinite hierarchy of soft factorization theorems. The existence of these theorems has been recently linked with the existence of an infinite tower of asymptotic symmetries. In this paper, we analyze the relevance of the soft graviton theorems...

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Bibliographic Details
Published in:The journal of high energy physics 2024-12, Vol.2024 (12), p.207-36, Article 207
Main Author: Akhtar, Samim
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Classical Theories of Gravity
Elementary Particles
Factorization
Gravitational fields
Gravitons
Impact analysis
Parameters
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Radiation
Regular Article - Theoretical Physics
Relativity Theory
Scattering
Scattering Amplitudes
Sensors
String Theory
Theorems
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Summary:A bstract Tree-level gravitational amplitudes satisfy an infinite hierarchy of soft factorization theorems. The existence of these theorems has been recently linked with the existence of an infinite tower of asymptotic symmetries. In this paper, we analyze the relevance of the soft graviton theorems beyond sub-leading order in the context of classical gravitational scattering in four dimensions. More in detail, we show that the infinite impact parameter limit of the late-time gravitational field emitted during a classical scattering can be derived using these factorization theorems. The classical field obtained in this (infinite impact parameter) regime has an expansion in the frequency of the detector where the modes scale as ω n log ω with a vanishing memory.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2024)207