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Leading nonlinear tidal effects and scattering amplitudes
by
Bern, Zvi
, Sawyer, Eric
, Parra-Martinez, Julio
, Roiban, Radu
, Shen, Chia-Hsien
in
Amplitudes
/ Black holes
/ Classical and Quantum Gravitation
/ Classical Theories of Gravity
/ Curvature
/ Effective Field Theories
/ Elementary Particles
/ Field theory
/ Gravitational fields
/ Gravitational waves
/ Gravity
/ High energy physics
/ Mathematical analysis
/ Multipoles
/ Neutron stars
/ Operators (mathematics)
/ Physics
/ Physics and Astronomy
/ PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
/ Quantum Field Theories
/ Quantum Field Theory
/ Quantum Physics
/ Regular Article - Theoretical Physics
/ Relativity
/ Relativity Theory
/ Scattering
/ Scattering Amplitudes
/ String Theory
/ Tensors
/ Theoretical physics
/ Theory of relativity
/ Tidal effects
2021
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Leading nonlinear tidal effects and scattering amplitudes
by
Bern, Zvi
, Sawyer, Eric
, Parra-Martinez, Julio
, Roiban, Radu
, Shen, Chia-Hsien
in
Amplitudes
/ Black holes
/ Classical and Quantum Gravitation
/ Classical Theories of Gravity
/ Curvature
/ Effective Field Theories
/ Elementary Particles
/ Field theory
/ Gravitational fields
/ Gravitational waves
/ Gravity
/ High energy physics
/ Mathematical analysis
/ Multipoles
/ Neutron stars
/ Operators (mathematics)
/ Physics
/ Physics and Astronomy
/ PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
/ Quantum Field Theories
/ Quantum Field Theory
/ Quantum Physics
/ Regular Article - Theoretical Physics
/ Relativity
/ Relativity Theory
/ Scattering
/ Scattering Amplitudes
/ String Theory
/ Tensors
/ Theoretical physics
/ Theory of relativity
/ Tidal effects
2021
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Leading nonlinear tidal effects and scattering amplitudes
by
Bern, Zvi
, Sawyer, Eric
, Parra-Martinez, Julio
, Roiban, Radu
, Shen, Chia-Hsien
in
Amplitudes
/ Black holes
/ Classical and Quantum Gravitation
/ Classical Theories of Gravity
/ Curvature
/ Effective Field Theories
/ Elementary Particles
/ Field theory
/ Gravitational fields
/ Gravitational waves
/ Gravity
/ High energy physics
/ Mathematical analysis
/ Multipoles
/ Neutron stars
/ Operators (mathematics)
/ Physics
/ Physics and Astronomy
/ PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
/ Quantum Field Theories
/ Quantum Field Theory
/ Quantum Physics
/ Regular Article - Theoretical Physics
/ Relativity
/ Relativity Theory
/ Scattering
/ Scattering Amplitudes
/ String Theory
/ Tensors
/ Theoretical physics
/ Theory of relativity
/ Tidal effects
2021
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Journal Article
Leading nonlinear tidal effects and scattering amplitudes
2021
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Overview
A
bstract
We present the two-body Hamiltonian and associated eikonal phase, to leading post-Minkowskian order, for infinitely many tidal deformations described by operators with arbitrary powers of the curvature tensor. Scattering amplitudes in momentum and position space provide systematic complementary approaches. For the tidal operators quadratic in curvature, which describe the linear response to an external gravitational field, we work out the leading post-Minkowskian contributions using a basis of operators with arbitrary numbers of derivatives which are in one-to-one correspondence with the worldline multipole operators. Explicit examples are used to show that the same techniques apply to both bodies interacting tidally with a spinning particle, for which we find the leading contributions from quadratic in curvature tidal operators with an arbitrary number of derivatives, and to effective field theory extensions of general relativity. We also note that the leading post-Minkowskian order contributions from higher-dimension operators manifest double-copy relations. Finally, we comment on the structure of higher-order corrections.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,Springer Nature,SpringerOpen
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