A New Analytical Method for Self-Force Regularization. I : Charged Scalar Particles in Schwarzschild Spacetime(Astrophysics and Relativity)
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概要
- 論文の詳細を見る
We formulate a new analytical method for regularizing the self-force acting on a particle of small mass μ orbiting a black hole of mass M, where μ ≪ M. At first order in μ, the geometry is perturbed and the motion of the particle is affected by its self-force. The self-force, however, diverges at the location of the particle, and hence should be regularized. It is known that a properly regularized self-force is given by the tail part (or the R-part) of the self-field, obtained by subtracting the direct part (or the S-part) from the full self-field. The most successful method of regularization proposed so far relies on the spherical harmonic decomposition of the self-force, the so-called mode-sum regularization or mode decomposition regularization. However, except for some special orbits, no systematic analytical method for computing the regularized self-force has been constructed. In this paper, utilizing a new decomposition of the retarded Green function in the frequency domain, we formulate a systematic method for the computation of the self-force in the time domain. Our method relies on the post-Newtonian (PN) expansion, but the order of the expansion can be arbitrarily high. To demonstrate the essence of our method, in this paper, we focus on a scalar charged particle on the Schwarzschild background. Generalization to the gravitational case is straightforward, except for some subtle issues related with the choice of gauge (which exists irrespective of regularization methods).
- 理論物理学刊行会の論文
- 2004-06-25
著者
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SASAKI Misao
Yukawa Institute for Theoretical Physics, Kyoto University
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Tanaka Take-aki
Physics Department Kochi University
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Sasaki Misao
Yukawa Institute For Theoretical Physics Kyoto University
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Sasaki Misao
Department Of Earth And Space Science Osaka University
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Nakano H
Department Of Physics And Astronomy And Center For Gravitational Wave Astronomy The University Of Te
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Nakano Hiroyuki
Department of Public Health, Nagasaki University School of Medicine
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TANAKA Takahiro
Department of Mathematics, Physics and Earth Science, Faculty of Science and Engineering, Ehime Univ
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Nakano H
Lithography Tech. Dept. Sony Corporation Msnc
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Tanaka Takahiro
Department Of Physics Graduate School Of Science Kyoto University
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Tanaka T
Department Of Physics Graduate School Of Science Kyoto University
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HIKIDA Wataru
Department of Earth and Space Science, Graduate School of Science, Osaka University
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SAGO Norichika
School of Mathematics, University of Southampton
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SAGO Norichika
Department of Earth and Space Science, Graduate School of Science, Osaka University
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HIKIDA Wataru
Yukawa Institute for Theoretical Physics, Kyoto University
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JHINGAN Sanjay
Departamento de Fisica Teorica, Universidad del Pais Vasco
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NAKANO Hiroyuki
Theoretical Astrophysics, California Institute of Technology Pasadena
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Hikida Wataru
Yukawa Institute For Theoretical Physics Kyoto University
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Jhingan Sanjay
Departamento De Fisica Teorica Universidad Del Pais Vasco
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Sago Norichika
School Of Mathematics University Of Southampton
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Sago Norichika
Osaka University
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Nakano Hiroyuki
Department Of Public Health Nagasaki University School Of Medicine
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Tanaka Takahiro
Department Of Cardiology Showa General Hospital
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Nakano Hiroyuki
Department Of Earth And Space Science Graduate School Of Science Osaka University
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SASAKI Misao
Department of Earth and Space Science, Osaka University
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SASAKI Misao
Department of Earth and Space Science, Graduate School of Science Osaka University
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SASAKI Misao
Research Institute for Fundamental Physics, Kyoto University
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SASAKI Misao
Research Institute for Theoretical Physics, Hiroshima University
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SASAKI Misao
Department of Physics, School of Science, University of Tokyo
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SAGO Norichika
Department of Physics, Graduate School of Science, Kyoto University:Department of Earth and Space Science, Graduate School of Science, Osaka University
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NAKANO Hiroyuki
Department of Physics and Astronomy, and Center for Gravitational Wave Astronomy, The University of Texas at Brownsville
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NAKANO Hiroyuki
Department of Earth and Space Science, Graduate School of Science Osaka University
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