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Classical soft photon and soft graviton theorems determine long wavelength electromagnetic and gravitational waveforms for a general classical scattering process in terms of the electric charges and asymptotic momenta of the ingoing and…

High Energy Physics - Theory · Physics 2020-12-30 Biswajit Sahoo

L. H. Thomas, in his 1927 paper, "The Kinematics of an Electron with an Axis", explained the then-anomalous factor of one-half in atomic spin-orbit coupling as due to a relativistic precession of the electron spin axis. Thomas's explanation…

General Physics · Physics 2010-02-01 David C. Lush

In this and companion papers, we show that quantum field theories with gauge symmetries permit a broader class of classical dynamics than typically assumed. In this article, we show that the quantization of electromagnetism permits the…

High Energy Physics - Theory · Physics 2023-07-19 David E. Kaplan , Tom Melia , Surjeet Rajendran

Classical studies as the conservation laws and the radiation fields are investigated in the pseudo-electrodynamics. We explore the action symmetry under infinitesimal transformations to obtain the energy-momentum, the Belinfante-Rosenfeld,…

Classical Physics · Physics 2025-07-01 S. Duque Cesar , M. J. Neves

This paper is devoted to the scattering of photons at electrons in models of non-relativistic quantum mechanical particles coupled minimally to the soft modes of the quantized electromagnetic field. We prove existence of scattering states…

Mathematical Physics · Physics 2008-09-10 Marcel Griesemer , Heribert Zenk

Boundaries in gauge theory and gravity give rise to symmetries and charges at both finite and asymptotic distance. Due to their structural similarities, it is often held that soft modes are some kind of asymptotic limit of edge modes. Here,…

High Energy Physics - Theory · Physics 2025-08-29 Goncalo Araujo-Regado , Philipp A. Hoehn , Francesco Sartini , Bilyana Tomova

We analyse the conservative evolution of spinning compact binaries to second post-Newtonian (2PN) order accuracy, with leading order spin-orbit, spin-spin and mass quadrupole-monopole contributions included. As a main result we derive a…

General Relativity and Quantum Cosmology · Physics 2015-05-04 László Árpád Gergely , Zoltán Keresztes

In any generally covariant theory of gravity, we show the relationship between the linearized asymptotically conserved current and its non-linear completion through the identically conserved current. Our formulation for conserved charges is…

High Energy Physics - Theory · Physics 2014-07-10 Wontae Kim , Shailesh Kulkarni , Sang-Heon Yi

We introduce the concept of \emph{orbital altermagnetism}, a symmetry-protected magnetic order of pure orbital degrees of freedom. It is characterized with ordered anti-parallel orbital magnetic moments in real space but momentum-dependent…

Materials Science · Physics 2026-05-22 Mingxiang Pan , Feng Liu , Huaqing Huang

We study the general structure of the electromagnetic field in the vicinity of spatial infinity. Starting from the general solution of the sourced Maxwell equations written in terms of multipole moments as obtained by Iyer and Damour, we…

High Energy Physics - Theory · Physics 2025-10-15 Geoffrey Compère , Dima Fontaine , Kevin Nguyen

All low-order conservation laws are found for a general class of nonlinear wave equations in one dimension with linear damping which is allowed to be time-dependent. Such equations arise in numerous physical applications and have attracted…

Mathematical Physics · Physics 2025-10-20 Stephen C. Anco , Almudena P. Marquez , Tamara M. Garrido , Maria L. Gandarias

We show that the amplitude of electromagnetic memory can be significantly enhanced in comparison to known estimates. In a Lorentz breaking phase of lowered phase velocity of light, there exist critical spacetime directions of memory-source…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Jann Zosso

We combine different techniques to extract information about the logarithmic contributions to the two-body conservative dynamics within the post-Newtonian (PN) approximation of General Relativity. The logarithms come from the conservative…

General Relativity and Quantum Cosmology · Physics 2020-07-09 Luc Blanchet , Stefano Foffa , François Larrouturou , Riccardo Sturani

The scrambling of quantum information in closed many-body systems, as measured by out-of-time-ordered correlation functions (OTOCs), has lately received considerable attention. Recently, a hydrodynamical description of OTOCs has emerged…

Statistical Mechanics · Physics 2018-09-12 Tibor Rakovszky , Frank Pollmann , C. W. von Keyserlingk

In this article we discuss the impact of conservation laws, specifically $U(1)$ charge conservation and energy conservation, on scrambling dynamics, especially on the approach to the late time fully scrambled state. As a model, we consider…

Statistical Mechanics · Physics 2021-12-08 Gong Cheng , Brian Swingle

In the first quarter of the 20th century, physicists were not aware of the existence of classical electromagnetic zero-point radiation nor of the importance of special relativity. Inclusion of these aspects allows classical electron theory…

Classical Physics · Physics 2022-01-11 Timothy H. Boyer

In a previous article, we have argued that Low's sub-leading soft photon theorem can be recovered as a Ward identity associated to the same large gauge transformations that control the leading piece of the theorem. The key for that was to…

High Energy Physics - Theory · Physics 2017-05-12 Eduardo Conde , Pujian Mao

A 2D nonlinear model for the electrical potential in the edge plasma in a tokamak generates a stiff problem due to the low resistivity in the direction parallel to the magnetic field lines. An asymptotic-preserving method based on a…

Numerical Analysis · Mathematics 2014-07-07 Philippe Angot , Thomas Auphan , Olivier Guès

We study the connection between asymptotic symmetries in non-Abelian gauge theories and the generalised coherent states following from the application to QCD of the Faddeev-Kulish approach to asymptotic dynamics. We compute the large gauge…

High Energy Physics - Theory · Physics 2021-09-28 Riccardo Gonzo , Tristan McLoughlin , Diego Medrano , Anne Spiering

Noether's 2nd theorem applied to a total system states that a global symmetry which is a part of local symmetries does not provide a physically meaningful conserved charge but it instead leads to off-shell constraints as a form of conserved…

High Energy Physics - Theory · Physics 2023-01-06 Sinya Aoki