Post-Minkowskian Hamiltonians in general relativity

TY - JOUR

T1 - Post-Minkowskian Hamiltonians in general relativity

AU - Cristofoli, Andrea

AU - Bjerrum-Bohr, N. E. J.

AU - Damgaard, Poul H.

AU - Vanhove, Pierre

PY - 2019/10/18

Y1 - 2019/10/18

N2 - We describe the computation of post-Minkowskian Hamiltonians in general relativity from scattering amplitudes. Using a relativistic Lippmann-Schwinger equation, we relate perturbative amplitudes of massive scalars coupled to gravity to the post-Minkowskian Hamiltonians of classical general relativity to any order in Newton's constant. We illustrate this by deriving a Hamiltonian for binary black holes without spin up to second order in the post-Minkowskian expansion and explicitly demonstrate the equivalence with the recently proposed method based on an effective field theory matching.

AB - We describe the computation of post-Minkowskian Hamiltonians in general relativity from scattering amplitudes. Using a relativistic Lippmann-Schwinger equation, we relate perturbative amplitudes of massive scalars coupled to gravity to the post-Minkowskian Hamiltonians of classical general relativity to any order in Newton's constant. We illustrate this by deriving a Hamiltonian for binary black holes without spin up to second order in the post-Minkowskian expansion and explicitly demonstrate the equivalence with the recently proposed method based on an effective field theory matching.

U2 - 10.1103/PhysRevD.100.084040

DO - 10.1103/PhysRevD.100.084040

M3 - Journal article

SN - 2470-0010

VL - 100

JO - Physical Review D

JF - Physical Review D

IS - 8

M1 - 084040

ER -