Classical and quantum scattering in post-Minkowskian gravity
By T. Damour. 2019
161 citations recorded by the source corpus.
New structural properties of post-Minkowskian (PM) gravity are derived, notably within its effective one body (EOB) formulation. Our results concern both the mass dependence, and the high-energy behavior, of the classical scattering angle. We generalize our previous work by deriving, up to the fourth post-Minkowskian (4PM) level included, the explicit links between the scattering angle and the two types of potentials entering the Hamiltonian description of PM dynamics within EOB theory. We compute the scattering amplitude derived from quantizing the third post-Minkowskian (3PM) EOB radial potential (including the contributions coming from the Born iterations), and point out various subtleties in the relation between perturbative amplitudes and classical dynamics. We highlight an apparent tension between the classical 3PM dynamics derived by Bern et al. [Phys. Rev. Lett. 122, 201603 (2019)PRLTAO0031-900710.1103/PhysRevLett.122.201603], and previous high-energy self-force results [Phys. Rev. D 86, 104041 (2012)PRVDAQ1550-799810.1103/PhysRevD.86.104041], and propose several possible resolutions of this tension. We point out that linear-in-mass-ratio self-force computations can give access to the exact 3PM and 4PM dynamics.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/04ebbdbe5b4ecb790315137ab879eb04727fd9fc
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Citations in the corpus
- Radiative contribution to classical gravitational scattering at the third order in G (2020, methodology): “[10]).”
- Universality of ultra-relativistic gravitational scattering (2020, background): “65) of [23] (where of course the Schwarzschild contribution is substituted by the probe-limit relevant to this supersymmetric case) and so it is possible to define a function C(σ) also for the N = 8 case.”
- Black hole perturbation theory and gravitational self-force (2021, background): “[21, 40, 22] for more recent discussions of the power of such synergies and of the potential future impact of self-force calculations.”
- Classical black hole scattering from a worldline quantum field theory (2020, background): “ that the 2PM de ection in the center-of-mass system is obtained via p ?= @˜ @b ; (7.2) where p ?= P ?p 2 = P ?p 1. A similar relation holds for the scattering angle [83] | see also eq. (4.5) in ref. [94]. It is suggestive that such a relation can be extended to higher orders and changes in spins [9”