Gravitational spin-orbit Hamiltonian at NNNLO in the post-Newtonian framework
Manoj K. Mandal, Pierpaolo Mastrolia, Raj Patil, Jan Steinhoff
Abstract
A bstract We present the result of the spin-orbit interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to N 3 LO corrections within the post-Newtonian expansion. The calculation is performed by employing the effective field theory diagrammatic approach, and it involves Feynman integrals up to three loops, evaluated within the dimensional regularization scheme. We apply canonical transformations to eliminate the non-physical divergences and spurious logarithmic behaviours of the Hamiltonian, and use the latter to derive the gauge-invariant binding energy and the scattering angle, in special kinematic regimes.
Topics & Concepts
PhysicsHamiltonian (control theory)Mathematical physicsClassical mechanicsFeynman diagramDimensional regularizationGravitational fieldCovariant Hamiltonian field theorySpinsGravitationHamiltonian systemRenormalizationMathematical optimizationCondensed matter physicsMathematicsBlack Holes and Theoretical PhysicsPulsars and Gravitational Waves ResearchParticle physics theoretical and experimental studies