403 citations · 4.2k across the 74 of their papers we have counts for
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Iterative Solution of the Kerr Black Hole Metric
Poul H. Damgaard, Hojin Lee, Kanghoon Lee +1
Using a recursive solution of the Einstein equations, we consider the perturbative expansion of the metric corresponding to a Kerr black hole. Because the metric is a function of t…
Gravitational Metric of a Star
Poul H. Damgaard, Hojin Lee, Kanghoon Lee +1
Solving the classical equations of motion in general relativity recursively, we consider the metric of a spatially localized and stationary source of matter. Having in mind a star…
Classical Observables from the Exponential Representation of the Gravitational S-Matrix
Poul H. Damgaard, Elias Roos Hansen, Ludovic Planté +1
By combining the KMOC-formalism with the exponential representation of the scattering matrix we show that the two-body scattering angle is given by the corresponding matrix element…
The Relation Between KMOC and Worldline Formalisms for Classical Gravity
Poul H. Damgaard, Elias Roos Hansen, Ludovic Planté +1
We demonstrate the equivalence between KMOC and worldline formalisms for classical general relativity, highlighting how the Keldysh-Schwinger in-in formalism is contained in both o…
Scattering Angles in Kerr Metrics
Poul H. Damgaard, Jitze Hoogeveen, Andres Luna +1
Scattering angles for probes in Kerr metrics are derived for scattering in the equatorial plane of the black hole. We use a method that naturally resums all orders in the spin of t…
The SAGEX Review on Scattering Amplitudes, Chapter 13: Post-Minkowskian expansion from Scattering Amplitudes
N. E. J. Bjerrum-Bohr, P. H. Damgaard, L. Plante +1
The post-Minkowskian expansion of Einstein's general theory of relativity has received much attention in recent years due to the possibility of harnessing the computational power o…
The SAGEX Review on Scattering Amplitudes
Gabriele Travaglini, Andreas Brandhuber, Patrick Dorey +35
This is an introduction to, and invitation to read, a series of review articles on scattering amplitudes in gauge theory, gravity, and superstring theory. Our aim is to provide an…
Remodeling the Effective One-Body Formalism in Post-Minkowskian Gravity
Poul H. Damgaard, Pierre Vanhove
The Effective One-Body formalism of the gravitational two-body problem in general relativity is reconsidered in the light of recent scattering amplitude calculations. Based on the…
On an Exponential Representation of the Gravitational S-Matrix
Poul H. Damgaard, Ludovic Plante, Pierre Vanhove
An exponential representation of the S-matrix provides a natural framework for understanding the semi-classical limit of scattering amplitudes. While sharing some similarities with…
The Amplitude for Classical Gravitational Scattering at Third Post-Minkowskian Order
N. E. J. Bjerrum-Bohr, P. H. Damgaard, L. Planté +1
We compute the scattering amplitude for classical black-hole scattering to third order in the Post-Minkowskian expansion, keeping all terms needed to derive the scattering angle to…
Classical Gravity from Loop Amplitudes
N. Emil J. Bjerrum-Bohr, Poul H. Damgaard, Ludovic Planté +1
We describe an efficient method for extracting the parts of -dimensional loop integrals that are needed to derive observables in classical general relativity from scattering amp…
Second-order Post-Minkowskian scattering in arbitrary dimensions
Andrea Cristofoli, Poul H. Damgaard, Paolo Di Vecchia +1
We extract the long-range gravitational potential between two scalar particles with arbitrary masses from the two-to-two elastic scattering amplitude at 2nd Post-Minkowskian order…
Post-Minkowskian Scattering Angle in Einstein Gravity
N. E. J. Bjerrum-Bohr, Andrea Cristofoli, Poul H. Damgaard
Using the implicit function theorem we demonstrate that solutions to the classical part of the relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those…
On Post-Minkowskian Hamiltonians in General Relativity
Andrea Cristofoli, N. E. J. Bjerrum-Bohr, Poul H. Damgaard +1
We describe the computation of post-Minkowskian Hamiltonians in General Relativity from scattering amplitudes. Using a relativistic Lippmann-Schwinger equation, we relate perturbat…
New Factorization Relations for Yang Mills Amplitudes
N. E. J. Bjerrum-Bohr, Poul H. Damgaard, Humberto Gomez
A double-cover extension of the scattering equation formalism of Cachazo, He and Yuan (CHY) leads us to conjecture covariant factorization formulas of n-particle scattering amplitu…
General Relativity from Scattering Amplitudes
N. E. J. Bjerrum-Bohr, Poul H. Damgaard, Guido Festuccia +2
We outline the program to apply modern quantum field theory methods to calculate observables in classical general relativity through a truncation to classical terms of the multi-gr…
String-Like Dual Models for Scalar Theories
Christian Baadsgaard, N. E. J. Bjerrum-Bohr, Jacob L. Bourjaily +1
We show that all tree-level amplitudes in scalar field theory can be represented as the limit of an -invariant, string-theory-like dual model integral. Thes…
Manifesting Color-Kinematics Duality in the Scattering Equation Formalism
N. E. J. Bjerrum-Bohr, Jacob L. Bourjaily, Poul H. Damgaard +1
We prove that the scattering equation formalism for Yang-Mills amplitudes can be used to make manifest the theory's color-kinematics duality. This is achieved through a concrete re…
Integration Rules for Loop Scattering Equations
Christian Baadsgaard, N. E. J. Bjerrum-Bohr, Jacob L. Bourjaily +2
We formulate new integration rules for one-loop scattering equations analogous to those at tree-level, and test them in a number of non-trivial cases for amplitudes in scalar …
Scattering Equations and Feynman Diagrams
Christian Baadsgaard, N. E. J. Bjerrum-Bohr, Jacob L. Bourjaily +1
We show a direct matching between individual Feynman diagrams and integration measures in the scattering equation formalism of Cachazo, He and Yuan. The connection is most easily e…
Integration Rules for Scattering Equations
Christian Baadsgaard, N. E. J. Bjerrum-Bohr, Jacob L. Bourjaily +1
As described by Cachazo, He and Yuan, scattering amplitudes in many quantum field theories can be represented as integrals that are fully localized on solutions to the so-called sc…
Scattering Equations and String Theory Amplitudes
N. E. J Bjerrum-Bohr, P. H. Damgaard, P. Tourkine +1
Scattering equations for tree-level amplitudes are viewed in the context of string theory. As a result of the comparison we are led to define a new dual model which coincides with…
The Complete KLT-Map Between Gravity and Gauge Theories
Poul H. Damgaard, Rijun Huang, Thomas Sondergaard +1
We present the complete map of any pair of super Yang-Mills theories to supergravity theories as dictated by the KLT relations in four dimensions. Symmetries and the full set of as…
Algebras for Amplitudes
N. E. J. Bjerrum-Bohr, Poul H. Damgaard, Ricardo Monteiro +1
Tree-level amplitudes of gauge theories are expressed in a basis of auxiliary amplitudes with only cubic vertices. The vertices in this formalism are explicitly factorized in color…