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相关论文: From Boundary Data to Bound States II: Scattering …

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We introduce a -- somewhat holographic -- dictionary between gravitational observables for scattering processes (measured at the "boundary") and adiabatic invariants for bound orbits (in the "bulk"), to all orders in the Post-Minkowskian…

高能物理 - 理论 · 物理学 2020-06-03 Gregor Kälin , Rafael A. Porto

Building upon the worldline effective field theory (EFT) formalism for spinning bodies developed for the Post-Newtonian regime, we generalize the EFT approach to Post-Minkowskian (PM) dynamics to include rotational degrees of freedom in a…

高能物理 - 理论 · 物理学 2022-05-30 Zhengwen Liu , Rafael A. Porto , Zixin Yang

The correspondence between gravitational observables derived from scattering processes and adiabatic invariants in bound orbits, within the framework of the Post-Minkowskian (PM) expansion, has garnered significant attention in the study of…

广义相对论与量子宇宙学 · 物理学 2025-06-18 Jiliang Jing

We establish a new relation between classical observables for scattering and bound orbits of a massive probe particle in a Kerr background. We find an exact representation of the Hamilton-Jacobi action in terms of the conserved charges…

高能物理 - 理论 · 物理学 2023-11-02 Riccardo Gonzo , Canxin Shi

We derive the radial action of a spinning probe particle in Kerr spacetime from the worldline formalism in the first-order form, focusing on linear in spin effects. We then develop a novel covariant Dirac bracket formalism to compute the…

高能物理 - 理论 · 物理学 2024-11-28 Riccardo Gonzo , Canxin Shi

The boundary integral method is extended to derive closed integro-differential equations applicable to computation of the shape and propagation speed of a steadily moving spot and to the analysis of dynamic instabilities in the sharp…

斑图形成与孤子 · 物理学 2016-09-07 L. M. Pismen

We derive the conservative dynamics of non-spinning binaries to third Post-Minkowskian order, using the Effective Field Theory (EFT) approach introduced in [2006.01184] together with the Boundary-to-Bound dictionary developed in…

高能物理 - 理论 · 物理学 2021-01-04 Gregor Kälin , Zhengwen Liu , Rafael A. Porto

Using the spinning worldline quantum field theory formalism we calculate the quadratic-in-spin momentum impulse $\Delta p_i^\mu$ and spin kick $\Delta a_i^\mu$ from a scattering of two arbitrarily oriented spinning massive bodies (black…

高能物理 - 理论 · 物理学 2022-10-05 Gustav Uhre Jakobsen , Gustav Mogull

The study of scattering encounters continues to provide new insights into the general relativistic two-body problem. The local-in-time conservative dynamics of an aligned-spin binary, for both unbound and bound orbits, is fully encoded in…

广义相对论与量子宇宙学 · 物理学 2021-01-04 Andrea Antonelli , Chris Kavanagh , Mohammed Khalil , Jan Steinhoff , Justin Vines

We derive the first law of binary point-particle mechanics for generic bound (i.e. eccentric) orbits at the fourth post-Newtonian (4PN) order, accounting for the non-locality in time of the dynamics due to the occurence of a…

广义相对论与量子宇宙学 · 物理学 2017-07-25 Luc Blanchet , Alexandre Le Tiec

This work studies time-dependent electromagnetic scattering from obstacles whose interaction with the wave is fully determined by a nonlinear boundary condition. In particular, the boundary condition studied in this work enforces a power…

数值分析 · 数学 2023-10-30 Jörg Nick

Recently developed time-independent bound-state perturbation theory is extended to treat the scattering domain. The changes in the partial wave phase shifts are derived explicitly and the results are compared with those of other methods.

核理论 · 物理学 2009-11-11 B. Gonul , M. Kocak

In this work, we study the scattering of a spinless charged particle constrained to move on a curved surface in the presence of the Aharonov-Bohm potential. We begin with the equations of motion for the surface and transverse dynamics…

We present the contribution from potential interactions to the dynamics of non-spinning binaries to fourth Post-Minkowskian (4PM) order. This is achieved by computing the scattering angle to ${\cal O}(G^4)$ using the effective field theory…

高能物理 - 理论 · 物理学 2022-06-01 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

With the aim of computing bound waveforms from scattering amplitudes, we explore gravitational two-body dynamics using the Schwinger-Dyson equations and Bethe-Salpeter recursion. We show that the tree-level scattering waveform admits a…

高能物理 - 理论 · 物理学 2024-05-10 Tim Adamo , Riccardo Gonzo , Anton Ilderton

We present a method that allows, under suitable equivariance and regularity conditions, to determine the Poisson boundary of a diffusion starting from the Poisson boundary of a sub-diffusion of the original one. We then give two examples of…

概率论 · 数学 2013-11-19 Jürgen Angst , Camille Tardif

Previous work developed a K-matrix formalism applicable to positive energies for the scattering between two $s$-wave interacting particles with two internal states, isotropic spin-orbit coupling and vanishing center-of-mass momentum [H.…

量子气体 · 物理学 2016-08-23 Q. Guan , D. Blume

We compute the scattering angle $\chi$ for hyperboliclike encounters in massless Scalar-Tensor (ST) theories up to third post-Newtonian (PN) order for the conservative part of the dynamics. To calculate the gauge-invariant scattering angle…

广义相对论与量子宇宙学 · 物理学 2023-04-19 Tamanna Jain

We extend the "boundary-to-bound" (B2B) correspondence to incorporate radiative as well as conservative radiation-reaction effects. We start by deriving a map between the total change in observables due to gravitational wave emission during…

高能物理 - 理论 · 物理学 2022-05-30 Gihyuk Cho , Gregor Kälin , Rafael A. Porto

In this paper the relativistic quantum dynamics of a spin-1/2 neutral particle with a magnetic moment $\mu$ in the cosmic string spacetime is reexamined by applying the von Neumann theory of self--adjoint extensions. Contrary to previous…

高能物理 - 理论 · 物理学 2017-02-01 Fabiano M. Andrade , Cleverson Filgueiras , Edilberto O. Silva
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