Poincaré generators at second post-Minkowskian order

A bstract We verify the global Poincaré invariance of the Hamiltonian mechanics of gravitating binary dynamics at the second post Minkowskian (2PM) order. For spinless point particles, based on the known 2PM Hamiltonian in the center of momentum frame, we compute the general 2PM Hamiltonian valid in...

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Bibliographic Details
Published in:The journal of high energy physics 2023-10, Vol.2023 (10), p.44-19, Article 44
Main Authors: Lee, Hojin, Lee, Kanghoon, Lee, Sangmin
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Classical Theories of Gravity
Effective Field Theories
Elementary Particles
Hamiltonian functions
High energy physics
Iterative methods
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
String Theory
Theoretical physics
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Summary:A bstract We verify the global Poincaré invariance of the Hamiltonian mechanics of gravitating binary dynamics at the second post Minkowskian (2PM) order. For spinless point particles, based on the known 2PM Hamiltonian in the center of momentum frame, we compute the general 2PM Hamiltonian valid in an arbitrary reference frame. An off-shell extension of the 1PM Hamiltonian, which contributes at the 2PM order through an iteration process, plays a crucial role. We then construct the 2PM boost generator that uniquely satisfies all the conditions imposed by the Poincaré algebra.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2023)044