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

被引：52

作者：

Bluemlein, J. ^{[1
]}

Maier, A. ^{[1
]}

Marquard, P. ^{[1
]}

Schaefer, G. ^{[2
]}

机构：

[1] DESY, Platanenallee 6, D-15738 Zeuthen, Germany

[2] Friedrich Schiller Univ, Theoret Phys Inst, Max Wien Pl 1, D-07743 Jena, Germany

来源：

NUCLEAR PHYSICS B | 2020年 / 955卷

关键词：

D O I：

10.1016/j.nuclphysb.2020.115041

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We calculate the motion of binary mass systems in gravity up to the fourth post–Newtonian order. We use momentum expansions within an effective field theory approach based on Feynman amplitudes in harmonic coordinates by applying dimensional regularization. We construct the canonical transformations to ADM coordinates and to effective one body theory (EOB) to compare with other approaches. We show that intermediate poles in the dimensional regularization parameter ε vanish in the observables and the classical theory is not renormalized. The results are illustrated for a series of observables for which we agree with the literature. © 2020 The Author(s)

引用

页数：29

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