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Gravitational self-force in the ultra-relativistic limit : The “ large-N ” expansion
| Content Provider | Semantic Scholar |
|---|---|
| Author | Galley, Chad R. Porto, R. Aleluia |
| Copyright Year | 2013 |
| Abstract | We study the gravitational self-force using the effective field theory formalism. We show that in the ultra-relativistic limit γ → ∞, with γ the boost factor, many simplifications arise. Drawing parallels with the large N limit in quantum field theory, we introduce the parameter 1/N ≡ 1/γ and show that the effective action admits a well defined expansion in powers of λ ≡ N at each order in 1/N , where ≡ Em/M with Em = γm the (kinetic) energy of the small mass. Moreover, we show that diagrams with nonlinear bulk interactions first enter at O(1/N) and only diagrams with nonlinearities in the worldline couplings, which are significantly easier to compute, survive in the large N/ultra-relativistic limit. As an example we derive the self-force to O(λ/N) and provide expressions for conservative quantities for circular orbits. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://authors.library.caltech.edu/37315/1/1302.4486v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Boost Diagram Hospital admission Interaction Kinetics Nonlinear system Ocular orbit Parallels Desktop for Mac Population Parameter Power (Psychology) Quantity Quantum field theory Semantics (computer science) |
| Content Type | Text |
| Resource Type | Article |
