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We study gravitational shock waves using scattering amplitude techniques. After first reviewing the derivation in General Relativity as an ultrarelativistic boost of a Schwarzschild solution, we provide an alternative derivation by…

High Energy Physics - Theory · Physics 2020-12-03 Andrea Cristofoli

In this thesis we present a study of the computation of classical observables in gauge theories and gravity directly from scattering amplitudes. In particular, we discuss the direct application of modern amplitude techniques in the one, and…

High Energy Physics - Theory · Physics 2022-08-02 Yilber Fabian Bautista

Perturbatively around flat space, the scattering amplitudes of gravity are related to those of Yang-Mills by colour-kinematic duality, under which gravitational amplitudes are obtained as the 'double copy' of the corresponding gauge theory…

High Energy Physics - Theory · Physics 2017-12-20 Tim Adamo , Eduardo Casali , Lionel Mason , Stefan Nekovar

We present a quantum algorithm for the calculation of scattering amplitudes of massive charged scalar particles in scalar quantum electrodynamics. Our algorithm is based on continuous-variable quantum computing architecture resulting in…

Quantum Physics · Physics 2018-02-21 Kübra Yeter-Aydeniz , George Siopsis

A prescription is presented to construct manifestly gauge invariant tree-level scattering amplitudes with one or two off-shell initial-state gluons for processes with arbitrary particles in the final state, which allows for calculations…

High Energy Physics - Phenomenology · Physics 2013-07-09 A. van Hameren

The simulation of quantum dynamics calls for quantum algorithms working in first quantized grid encodings. Here, we propose a variational quantum algorithm for performing quantum dynamics in first quantization. In addition to the usual…

The detection of gravitational waves in 2015 ushered in a new era of gravitational wave astronomy capable of probing into the strong field dynamics of black holes and neutron stars. It has opened up an exciting new window for laboratory and…

High Energy Physics - Theory · Physics 2024-10-14 Jen-Tsung Hsiang , Hing-Tong Cho , Bei-Lok Hu

Feynman diagrams have been superseded as the tool of choice for calculating scattering amplitudes. Various other methods are not only more efficient but also explicitly exhibit beautiful structures obscured by Feynman diagrams. This thesis…

High Energy Physics - Theory · Physics 2018-12-24 Stefan Nekovar

Quantum field theory provides us with the means to calculate scattering amplitudes. In recent years a dramatic new development has lead to great simplification of such calculations. This is based on the discovery of the``amplituhedron'' in…

High Energy Physics - Theory · Physics 2022-08-24 Deepak Vaid , Devadharshini Suresh

We study graviton-graviton scattering in partial-wave amplitudes after unitarizing their Born terms. In order to apply $S$-matrix techniques, based on unitarity and analyticity, we introduce an $S$-matrix associated to this resummation that…

High Energy Physics - Theory · Physics 2023-01-11 J. A. Oller

I discuss a formalism for computing quantum scattering amplitudes using a semiclassical expansion of a functional integral representation for the S-matrix. The classical background for the expansion is determined by solving the equations of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stephen D. H. Hsu

Scattering amplitudes have their origin in quantum field theory, but have wide-ranging applications extending to classical physics. We review a formalism to connect certain classical observables to scattering amplitudes. An advantage of…

High Energy Physics - Theory · Physics 2022-10-04 David A. Kosower , Ricardo Monteiro , Donal O'Connell

Any gravitational scattering amplitude takes a remarkably simple factorized form at tree level in multi-Regge kinematics (MRK), where the produced particles are strongly ordered in rapidity. Very recently, it was shown that also the…

High Energy Physics - Theory · Physics 2019-02-21 Zhengwen Liu

We give a systematic analysis of forward scattering in 3$+$1-dimensional quantum gravity, at center of mass energies comparable or larger than the Planck energy. We show that quantum gravitational effects in this kinematical regime are…

High Energy Physics - Theory · Physics 2009-10-22 Herman Verlinde , Erik Verlinde

The interactions of gravitons with matter are calculated in parallel with the familiar photon case. It is shown that graviton scattering amplitudes can be factorized into a product of familiar electromagnetic forms, and cross sections for…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Barry R. Holstein

We utilize various computational techniques in flat and curved backgrounds to calculate the classical gravitational Compton amplitude up to the second post-Minkowskian order. Our novel result supports the use of worldline quantum field…

High Energy Physics - Theory · Physics 2025-11-03 N. Emil J. Bjerrum-Bohr , Gang Chen , Carl Jordan Eriksen , Nabha Shah

The quantum effective theory of general relativity, independent of the eventual full theory at high energy, expresses graviton-graviton scattering at one loop order O(E^4) with only one parameter, Newton's constant. Dunbar and Norridge have…

High Energy Physics - Theory · Physics 2009-10-31 J. F. Donoghue , T. Torma

Affine gravity is a connection-based formulation of gravity that does not involve a metric. After a review of basic properties of affine gravity, we compute the tree-level scattering amplitude of scalar particles interacting gravitationally…

High Energy Physics - Theory · Physics 2021-05-26 Benjamin Knorr , Chris Ripken

We consider the leading post-Newtonian and quantum corrections to the non-relativistic scattering amplitude of charged scalars in the combined theory of general relativity and scalar QED. The combined theory is treated as an effective field…

High Energy Physics - Theory · Physics 2009-11-07 N. E. J. Bjerrum-Bohr