Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.104004· OSTI ID:21503619

Levi, Michele ^[1]

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1. Racah Institute of Physics, Hebrew University, Jerusalem 91904 (Israel)

We use an effective field theory (EFT) approach to calculate the next-to-leading order (NLO) gravitational spin-orbit interaction between two spinning compact objects. The NLO spin-orbit interaction provides the most computationally complex sector of the NLO spin effects, previously derived within the EFT approach. In particular, it requires the inclusion of nonstationary cubic self-gravitational interaction, as well as the implementation of a spin supplementary condition (SSC) at higher orders. The EFT calculation is carried out in terms of the nonrelativistic gravitational field parametrization, making the calculation more efficient with no need to rely on automated computations, and illustrating the coupling hierarchy of the different gravitational field components to the spin and mass sources. Finally, we show explicitly how to relate the EFT derived spin results to the canonical results obtained with the Arnowitt-Deser-Misner (ADM) Hamiltonian formalism. This is done using noncanonical transformations, required due to the implementation of covariant SSC, as well as canonical transformations at the level of the Hamiltonian, with no need to resort to the equations of motion or the Dirac brackets.

• OSTI ID: 21503619
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 10; Other Information: DOI: 10.1103/PhysRevD.82.104004; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
CANONICAL TRANSFORMATIONS
COMPUTERIZED SIMULATION
EQUATIONS OF MOTION
FIELD THEORIES
GRAVITATIONAL FIELDS
GRAVITATIONAL INTERACTIONS
HAMILTONIANS
INCLUSIONS
L-S COUPLING
MASS
QUANTUM FIELD THEORY
SPIN
SUPERCONDUCTING SUPER COLLIDER
ACCELERATORS
ANGULAR MOMENTUM
BASIC INTERACTIONS
COUPLING
CYCLIC ACCELERATORS
DIFFERENTIAL EQUATIONS
EQUATIONS
INTERACTIONS
INTERMEDIATE COUPLING
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
QUANTUM OPERATORS
SIMULATION
STORAGE RINGS
SYNCHROTRONS
TRANSFORMATIONS