Simple, efficient method of calculating the Detweiler-Whiting singular field to very high order
Autor: | Bourg, Patrick, Pound, Adam, Upton, Samuel D., Macedo, Rodrigo Panosso |
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Rok vydání: | 2024 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | Most self-force calculations rely, in one way or another, on representations of a particle's Detweiler- Whiting singular field. We present a simple method of calculating the singular field to high order in a local expansion in powers of distance from the particle. As a demonstration, we compute the singular field to 14th order in distance, 10 orders beyond the previous state of the art, in the simple case of a scalar charge in circular orbit around a Schwarzschild black hole. We provide the result in both a 4-dimensional form and a decomposed form suitable for use in an m-mode puncture scheme. Our method should have applications in overcoming bottlenecks in current self-force calculations at both first and second order in perturbation theory. Comment: 24 pages, 5 figures |
Databáze: | arXiv |
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