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A novel proposal is outlined to determine scattering amplitudes from finite-volume spectral functions. The method requires extracting smeared spectral functions from finite-volume Euclidean correlation functions, with a particular complex…

High Energy Physics - Lattice · Physics 2019-09-04 John Bulava , Maxwell T. Hansen

Quantum computing may offer the opportunity to simulate strongly-interacting field theories, such as quantum chromodynamics, with physical time evolution. This would give access to Minkowski-signature correlators, in contrast to the…

High Energy Physics - Lattice · Physics 2021-01-13 Raúl A. Briceño , Juan V. Guerrero , Maxwell T. Hansen , Alexandru Sturzu

We present a general framework for calculating post-Minskowskian, classical, conservative Hamiltonians for $N$ non-spinning bodies in general relativity from relativistic scattering amplitudes. Novel features for $N>2$ are described…

High Energy Physics - Theory · Physics 2023-03-01 Callum R. T. Jones , Mikhail Solon

The real-time correlators of quantum field theories can be directly probed through new approaches to simulation, such as quantum computing and tensor networks. This provides a new framework for computing scattering observables in lattice…

High Energy Physics - Lattice · Physics 2026-03-27 Ivan M. Burbano , Marco A. Carrillo , Rana Urek , Anthony N. Ciavarella , Raúl A. Briceño

We present scattering from many body systems in a new light. In place of the usual van Hove treatment, (applicable to a wide range of scattering processes using both photons and massive particles) based on plane waves, we calculate the…

Optics · Physics 2009-10-30 R. Gaehler , J. Felber , F. Mezei , R. Golub

Scattering and transition amplitudes with three-hadron final states play an important role in nuclear and particle physics. However, predicting such quantities using numerical Lattice QCD is very difficult, in part because of the effects of…

High Energy Physics - Lattice · Physics 2015-11-17 Maxwell T. Hansen

In this notes, we illustrate why the infinite volume scattering amplitude is in fact dispensable when it comes to formulating few-body quantization condition in finite volume. Only subprocess interactions or interactions associated…

High Energy Physics - Lattice · Physics 2020-07-10 Peng Guo

Few-body hadronic observables play an essential role in a wide number of processes relevant for both particle and nuclear physics. In order for Lattice QCD to offer insight into the interpretation of few-body states, a theoretical…

High Energy Physics - Lattice · Physics 2014-11-26 Raúl A. Briceño

Progress in computing various meson-baryon scattering amplitudes is presented on a single ensemble from the Coordinated Lattice Simulations (CLS) consortium with $m_\pi=200$ MeV and $N_f=2+1$ dynamical fermions. The finite-volume L\"uscher…

High Energy Physics - Lattice · Physics 2021-11-16 Colin Morningstar , John Bulava , Andrew D. Hanlon , Ben Hörz , Daniel Mohler , Amy Nicholson , Sarah Skinner , André Walker-Loud

Using scattering amplitudes, we obtain the potential contributions to conservative binary dynamics in general relativity at fourth post-Minkowskian order, ${\cal O}(G^4)$. As in previous lower-order calculations, we harness powerful tools…

High Energy Physics - Theory · Physics 2021-05-20 Zvi Bern , Julio Parra-Martinez , Radu Roiban , Michael S. Ruf , Chia-Hsien Shen , Mikhail P. Solon , Mao Zeng

We derive a general formalism that relates the spectrum of two-particle systems in a finite volume to physical scattering amplitudes, taking into account the presence of any left-hand branch cuts due to single-particle exchanges. The method…

High Energy Physics - Lattice · Physics 2025-02-27 André Baião Raposo , Raúl A Briceño , Maxwell T Hansen , Andrew W Jackura

Amplitude methods have proven to be a promising technique to perform Post-Minkowskian calculations used as inputs to construct gravitational waveforms. In this paper, we show how these methods can be extended beyond the standard…

High Energy Physics - Theory · Physics 2022-06-28 Mariana Carrillo-González , Claudia de Rham , Andrew J. Tolley

We obtain a first order post-Minkowskian two-body effective potential whose post-Newtonian expansion directly reproduces the Einstein-Infeld-Hoffmann potential. Post-Minkowskian potentials can be extracted from on-shell scattering…

High Energy Physics - Theory · Physics 2021-02-03 Gianluca Grignani , Troels Harmark , Marta Orselli , Andrea Placidi

The extraction of two- and three-body hadronic scattering amplitudes and the properties of the low-lying hadronic resonances from the finite-volume energy levels in lattice QCD represents a rapidly developing field of research. The use of…

High Energy Physics - Lattice · Physics 2021-06-30 Maxim Mai , Michael Döring , Akaki Rusetsky

We present the first ab initio calculation at physical quark masses of scattering amplitudes describing the lightest pseudoscalar mesons interacting via the strong force in the vector channel. Using lattice quantum chromodynamics, we…

We compute the complete potential-graviton contributions to the conservative radial action and scattering angle for two non-spinning bodies in general relativity, accurate through fifth order in Newton's constant and including second-order…

High Energy Physics - Theory · Physics 2026-02-10 Zvi Bern , Enrico Herrmann , Radu Roiban , Michael S. Ruf , Alexander V. Smirnov , Sid Smith , Mao Zeng

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 of modern amplitude calculations in such a classical context.…

High Energy Physics - Theory · Physics 2022-06-22 N. E. J. Bjerrum-Bohr , P. H. Damgaard , L. Plante , P. Vanhove

We propose an effectively nonperturbative approach to calculating scattering amplitudes in the perturbative regime. We do this in a discretized momentum space by using the QSE method to calculate all the contributions (to all orders in…

High Energy Physics - Phenomenology · Physics 2018-07-20 Neil Christensen , Joshua Henderson , Santiago Pinto , Cory Russ

Simulating quantum systems in a finite volume is a powerful theoretical tool to extract information about them. Real-world properties of the system are encoded in how its discrete energy levels change with the size of the volume. This…

Nuclear Theory · Physics 2023-04-12 S. König

Lattice QCD studies of hadron-hadron interactions are performed by computing the energy levels of the system in a finite box. The shifts in energy levels proportional to inverse powers of the volume are related to scattering parameters in a…

High Energy Physics - Lattice · Physics 2014-11-17 Paulo F. Bedaque , Ikuro Sato , Andre Walker-Loud
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