Effective Field Theory for Extreme Mass Ratios
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866913321689546752 |
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| author | Cheung, Clifford Parra-Martinez, Julio Rothstein, Ira Z. Shah, Nabha Wilson-Gerow, Jordan |
| author_facet | Cheung, Clifford Parra-Martinez, Julio Rothstein, Ira Z. Shah, Nabha Wilson-Gerow, Jordan |
| contents | We derive an effective field theory describing a pair of gravitationally interacting point particles in an expansion in their mass ratio, also known as the self-force (SF) expansion. The 0SF dynamics are trivially obtained to all orders in Newton's constant by the geodesic motion of the light body in a Schwarzschild background encoding the gravitational field of the heavy body. The corrections at 1SF and higher are generated by perturbations about this configuration -- that is, the geodesic deviation of the light body and the fluctuation graviton -- but crucially supplemented by an operator describing the recoil of the heavy body as it interacts with the smaller companion. Using this formalism we compute new results at third post-Minkowskian order for the conservative dynamics of a system of gravitationally interacting massive particles coupled to a set of additional scalar and vector fields. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2308_14832 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Effective Field Theory for Extreme Mass Ratios Cheung, Clifford Parra-Martinez, Julio Rothstein, Ira Z. Shah, Nabha Wilson-Gerow, Jordan High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology We derive an effective field theory describing a pair of gravitationally interacting point particles in an expansion in their mass ratio, also known as the self-force (SF) expansion. The 0SF dynamics are trivially obtained to all orders in Newton's constant by the geodesic motion of the light body in a Schwarzschild background encoding the gravitational field of the heavy body. The corrections at 1SF and higher are generated by perturbations about this configuration -- that is, the geodesic deviation of the light body and the fluctuation graviton -- but crucially supplemented by an operator describing the recoil of the heavy body as it interacts with the smaller companion. Using this formalism we compute new results at third post-Minkowskian order for the conservative dynamics of a system of gravitationally interacting massive particles coupled to a set of additional scalar and vector fields. |
| title | Effective Field Theory for Extreme Mass Ratios |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2308.14832 |