Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach

DOI10.1016/j.nuclphysb.2020.115041zbMath1473.83010arXiv2003.01692OpenAlexW3009039680MaRDI QIDQ2230242

Yanyan Li

Publication date: 17 September 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01692

zbMATH Keywords

harmonic coordinates

Mathematics Subject Classification ID

Feynman diagrams (81T18) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Two-body problems (70F05) Equations of motion in general relativity and gravitational theory (83C10) Canonical transformations in symplectic and contact geometry (53D22) Dimensional compactification in quantum field theory (81T33) Effective quantum field theories (81T12)

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Uses Software

• FORM
• QGRAF

Cites Work

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• Lagrangians for n point masses at the second post-Newtonian approximation of general relativity
• Automatic Feynman graph generation
• Small distance behaviour in field theory and power counting
• Tests of chameleon gravity
• Symbolic summation assists combinatorics
• Reduced Hamiltonian formalism for general-relativistic adiabatic fluids and applications
• Redefinition of position variables and the reduction of higher-order Lagrangians
• Simplifying Multiple Sums in Difference Fields

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