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20172026
most citedTime Evolution of Complexity: A Critique of Three Methods

124 citations · 632 across the 29 of their papers we have counts for

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30 papers · 1 filter

hep-th2026

Inclusive Radiation and Backreaction from the Phase-Space S-Matrix

Nathan Moynihan

We develop a phase-space description of classical scattering in which the matter sector of the Dyson S-matrix is partially Weyl transformed while the radiation sector remains opera…

hep-th2026

Non-local nonstabiliserness in Gluon and Graviton Scattering

John Gargalionis, Nathan Moynihan, Michael L. Reichenberg Ashby +3

The property of non-stabiliserness, or ``magic'', is of interest in quantum computing due to its role in developing fault-tolerant quantum algorithms with genuine computational adv…

hep-th2026

Memory effect from the scattering of Taub-NUT black holes

George Doran, Ricardo Monteiro, Nathan Moynihan

Taub-NUT black holes are somewhat exotic solutions to the vacuum Einstein equations, which have received limited attention in gravitational phenomenology. We use the soft behaviour…

hep-th2026

Learning the S-matrix from data: Rediscovering gravity from gauge theory via symbolic regression

Nathan Moynihan

We demonstrate that modern machine-learning methods can autonomously reconstruct several flagship analytic structures in scattering amplitudes directly from numerical on-shell data…

hep-th2025

The double copy as a doppelgänger

Nathan Moynihan, Michael L. Reichenberg Ashby, Chris D. White

The double copy relates scattering amplitudes and classical solutions in non-abelian gauge theories and gravity. As such, it is usually expressed in the conventional second-order f…

hep-th2025

Spin versus Magic: Lessons from Gluon and Graviton Scattering

John Gargalionis, Nathan Moynihan, Sokratis Trifinopoulos +3

The quantum property of non-stabiliserness, also known as magic, plays a key role in designing quantum computing systems. How to produce, manipulate and enhance magic remains myste…

hep-th2025

Topological modes, non-locality and the double copy

William T. Emond, Laura Engelbrecht, Nathan Moynihan +1

The double copy connects scattering amplitudes and other objects in gauge and gravity theories. Open conceptual issues include whether non-local information in gravity theories can…

hep-th2024

Celestial amplitudes on electromagnetic backgrounds: T-duality from S-duality

Tristan McLoughlin, Nathan Moynihan, Andrea Puhm

What is the boundary holographic dual of S-duality for gauge theories in asymptotically flat space-times? Celestial amplitudes, by virtue of exhibiting holographic properties of th…

hep-th2024

Deriving Weyl double copies with sources

Kymani Armstrong-Williams, Nathan Moynihan, Chris D. White

The Weyl double copy is a relationship between classical solutions in gauge and gravity theories, and has previously been applied to vacuum solutions in both General Relativity and…

hep-th2023★ 31 cited

Observables from the Spinning Eikonal

Andres Luna, Nathan Moynihan, Donal O'Connell +1

We study the classical dynamics of spinning particles using scattering amplitudes and eikonal exponentiation. We show that observables are determined by a simple algorithm. A wealt…

hep-th2022

Mini-twistors and the Cotton Double Copy

Mariana Carrillo González, William T. Emond, Nathan Moynihan +2

The double copy relates quantities in gauge, gravity and related theories. A well-known procedure for relating exact classical solutions is the Weyl double copy in four spacetime d…

hep-th2022★ 32 cited

Why is the Weyl double copy local in position space?

Andres Luna, Nathan Moynihan, Chris D. White

The double copy relates momentum-space scattering amplitudes in gauge and gravity theories. It has also been extended to classical solutions, where in some cases an exact double co…

hep-th2022

Scattering Amplitudes and The Cotton Double Copy

William T. Emond, Nathan Moynihan

We construct classical curvature spinors in topologically massive gauge theory and topologically massive gravity, expressed in terms of massive three-particle amplitudes. We show t…

hep-th2021★ 9 cited

The Uncertainty Principle and Classical Amplitudes

Andrea Cristofoli, Riccardo Gonzo, Nathan Moynihan +4

We study the variance in the measurement of observables during scattering events, as computed using amplitudes. The classical regime, characterised by negligible uncertainty, emerg…

hep-th2021★ 2 cited

Massive Covariant Colour-Kinematics in 3D

Nathan Moynihan

We explore topologically massive gauge theories using the covariant colour kinematics duality recently introduced by Cheung and Mangan. We show that the massive bi-adjoint scalar f…

hep-th2021★ 15 cited

Quantization Conditions and the Double Copy

William T. Emond, Nathan Moynihan, Liangyu Wei

We formulate Wilson loop observables as products of eikonal Wilson lines given in terms of on-shell scattering amplitudes. Using these, we derive the Dirac-Schwinger-Zwanziger quan…

hep-th2021

Anyons and the Double Copy

Daniel J Burger, William T. Emond, Nathan Moynihan

We examine the double copy structure of anyons in gauge theory and gravity. Using on-shell amplitude techniques, we construct little group covariant spinor-helicity variables descr…

hep-th2020★ 2 cited

Amplitudes from Coulomb to Kerr-Taub-NUT

William T. Emond, Yu-tin Huang, Uri Kol +2

Electric-magnetic duality, the Newman-Janis shift, and the double copy all act by elementary operations on three-point amplitudes. At the same time, they generate a network of inte…

hep-th2020★ 39 cited

Scattering Amplitudes and the Double Copy in Topologically Massive Theories

Nathan Moynihan

Using the principles of the modern scattering amplitudes programme, we develop a formalism for constructing the amplitudes of three-dimensional topologically massive gauge theories…

hep-th2020

On-Shell Perspectives on the Massless Limit of Massive Supergravity

Daniel J Burger, Nathan Moynihan, Jeff Murugan

Massive gravity exhibits a famous discontinuity in its 2-point linearized amplitude for t-channel scattering of gravitational sources, in the limit. In essence, the sourc…

hep-th2020

On-Shell Electric-Magnetic Duality and the Dual Graviton

Nathan Moynihan, Jeff Murugan

Using on-shell amplitude methods, we explore 4-dimensional Electric-Magnetic duality and its double copy. We show explicitly that the on-shell scattering amplitudes know about `dua…

hep-th2019★ 58 cited

Kerr-Newman from Minimal Coupling

Nathan Moynihan

We show that at 1PN all four-dimensional black hole solutions in asymptotically flat spacetimes can be derived from leading singularities involving minimally coupled three-particle…

hep-th2019★ 42 cited

Rotating Black Holes in Cubic Gravity

Daniel J. Burger, William T. Emond, Nathan Moynihan

Using on-shell amplitude methods, we derive a rotating black hole solution in a generic theory of Einstein gravity with additional terms cubic in the Riemann tensor. We give an exp…

hep-th2019

Amplitudes, Gravity and Classical Discontinuities

Daniel J. Burger, Raul Carballo-Rubio, Nathan Moynihan +2

On-shell methods have revitalized interest in scattering amplitudes which have, in turn, shed some much needed light on the structure of quantum field theories. These developments…