Non-Relativistic Gravitation: From Newton to Einstein and Back
Barak Kol, Michael Smolkin
备注：
10 pages, 3 figures. v2: published version. v3: Added a computation of Einstein-Infeld-Hoffmann in higher dimensions within our improved ClEFT which partially confirms and partially corrects a previous computation. See notes added at end of introduction
We present an improvement to the Classical Effective Theory approach to the non-relativistic or Post-Newtonian approximation of General Relativity. The "potential metric field" is decomposed through a temporal Kaluza-Klein ansatz into three NRG-fields: a scalar identified with the Newtonian potential, a 3-vector corresponding to the gravito-magnetic vector potential and a 3-tensor. The derivation of the Einstein-Infeld-Hoffmann Lagrangian simplifies such that each term corresponds to a single Feynman diagram providing a clear physical interpretation. Spin interactions are dominated by the exchange of the gravito-magnetic field. Leading correction diagrams corresponding to the 3PN correction to the spin-spin interaction and the 2.5PN correction to the spin-orbit interaction are presented.
All-order structure of static gravitational interactions and the seventh post-Newtonian potential
Scuola Normale Superiore（比萨高等师范学院）；INFN Sezione di Pisa（意大利国家核物理研究所比萨分部）；Dipartimento di Fisica e Astronomia, Universita di Padova（帕多瓦大学物理与天文学系）；INFN, Sezione di Padova（意大利国家核物理研究所帕多瓦分部）；Max Planck Institute for Gravitational Physics (Albert Einstein Institute)（马克斯·普朗克引力物理学研究所（爱因斯坦研究所））；Institut für Physik und IRIS Adlershof, Humboldt-Universit ät zu Berlin（柏林洪堡大学物理研究所与IRIS阿德勒霍夫中心）；Higgs Centre for Theoretical Physics, University of Edinburgh（爱丁堡大学希格斯理论物理中心）
Six-loop gravitational interactions at the sixth post-Newtonian order
Scuola Normale Superiore（高等师范学校）；INFN Sezione di Pisa（意大利国家核物理研究所比萨分部）；Universita di Padova（帕多瓦大学）；INFN, Sezione di Padova（意大利国家核物理研究所帕多瓦分部）；Max Planck Institute for Gravitational Physics (Albert Einstein Institute)（马克斯·普朗克引力物理研究所（爱因斯坦研究所））；Humboldt-Universit ät zu Berlin（柏林洪堡大学）；University of Edinburgh（爱丁堡大学）
