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We present several results on memory effects, asymptotic symmetry and soft theorems in massive QED. We first clarify in what sense the memory effects are interpreted as the charge conservation of the large gauge transformations, and derive…

High Energy Physics - Theory · Physics 2018-08-15 Hayato Hirai , Sotaro Sugishita

A new, general, field theoretic approach to the derivation of asymptotic conservation laws is presented. In this approach asymptotic conservation laws are constructed directly from the field equations according to a universal prescription…

High Energy Physics - Theory · Physics 2009-10-30 I. M. Anderson , C. G. Torre

Recently it was shown that classical electromagnetism admits new asymptotic conservation laws \cite{2007.03627}. In this paper we derive the analogue of the first of these asymptotic conservation laws upon imposing Feynman boundary…

High Energy Physics - Theory · Physics 2021-07-07 Sayali Atul Bhatkar

Electromagnetism contains an infinite dimensional symmetry group of large gauge transformations. This gives rise to an infinite number of conserved quantities called "soft charges" via Noether's theorem. When charged particles scatter, the…

High Energy Physics - Theory · Physics 2021-12-13 Noah Miller

The last few years have seen considerable mathematical progress concerning the asymptotic structure of gravitational radiation in dynamical, astrophysical spacetimes. In this paper, we distil some of the key ideas from recent works and…

General Relativity and Quantum Cosmology · Physics 2025-08-20 Dejan Gajic , Lionor M. A. Kehrberger

Strominger and his collaborators pioneered the study of equivalence between soft theorems and asymptotic conservation laws. We study this equivalence in the context of loop level subleading soft photon theorem for massless scalar QED in…

High Energy Physics - Theory · Physics 2020-10-19 Sayali Atul Bhatkar

We derive the leading spin-dependent gravitational tail memory, which appears at the second post-Minkowskian (2 PM) order and behaves as $u^{-2}$ for large retarded time $u$. This result follows from classical soft graviton theorem at order…

High Energy Physics - Theory · Physics 2022-02-09 Debodirna Ghosh , Biswajit Sahoo

A deep connection has been recently established between soft theorems and symmetries at null infinity in gravity and gauge theories, recasting the former as Ward identities of the latter. In particular, different orders (in the frequency of…

High Energy Physics - Theory · Physics 2017-05-11 Eduardo Conde , Pujian Mao

The conservation laws of electromagnetism, and implicitly all theories built from quadratic Lagrangians, are extended to a continuum of nonlocal versions. These are associated with symmetries of a class of equal time field correlation…

Mathematical Physics · Physics 2014-07-28 Clifford Chafin

In Class. Quantum Grav. 26 (2009) 175006 (arXiv:0812.4333v3) Bizon et al discuss the power-law tail in the long-time evolution of a spherically symmetric self-gravitating massless scalar field in odd spatial dimensions. They derive explicit…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Nikodem Szpak

The soft photon theorem, in its standard form, requires corrections when the asymptotic particle states carry magnetic charges. These corrections are deduced using electromagnetic duality and the resulting soft formula conjectured to be…

High Energy Physics - Theory · Physics 2016-01-27 Andrew Strominger

Previous analyses of asymptotic symmetries in QED have shown that the subleading soft photon theorem implies a Ward identity corresponding to a charge generating divergent large gauge transformations on the asymptotic states at null…

High Energy Physics - Theory · Physics 2023-04-28 Temple He , Prahar Mitra

We report a new energy conservation law for time-harmonic electromagnetic fields, which is valid for an arbitrary medium. In contrast to the well-established Poynting theorem for time-harmonic fields, the real part of the new energy…

Classical Physics · Physics 2016-11-15 Wen Geyi

If a set of charged objects collide in space and the fragments disperse, then this process will emit electromagnetic waves. Classical soft photon theorem determines the constant term and the leading power law fall-off of the wave-form at…

High Energy Physics - Theory · Physics 2025-01-14 Debanjan Karan , Babli Khatun , Biswajit Sahoo , Ashoke Sen

Gauge theories and perturbative gravity in four dimensions are governed by a tower of infinite-dimensional symmetries which arise from tree-level soft theorems. However, aside from the leading soft theorems which are all-loop exact,…

High Energy Physics - Theory · Physics 2024-12-24 Sangmin Choi , Alok Laddha , Andrea Puhm

Hamada and Shiu have recently shown that tree level amplitudes in QED satisfy an infinite hierarchy of soft photon theorems, the first two of which are Weinberg and Low's theorems respectively. In this paper we propose that in tree level…

High Energy Physics - Theory · Physics 2019-06-26 Miguel Campiglia , Alok Laddha

When a set of charged or dyonic objects scatter and subsequently disperse, the process generically emits electromagnetic radiation. The classical soft photon theorem constrains the constant term and leading power-law fall-off of the emitted…

High Energy Physics - Theory · Physics 2025-11-27 Sarthak Duary , Pabitra Ray

The late time behaviour of OTOCs involving generic non-conserved local operators show exponential decay in chaotic many body systems. However, it has been recently observed that for certain holographic theories, the OTOC involving the…

High Energy Physics - Theory · Physics 2025-01-14 Karunava Sil , Sourav Maji , Stavros Christodoulou , Abhishek Chowdhury

Recently Sahoo and Sen obtained a series of remarkable results concerning sub-leading soft photon and graviton theorems in four dimensions. Even though the S- matrix is infrared divergent, they have shown that the sub-leading soft theorems…

High Energy Physics - Theory · Physics 2020-01-08 Miguel Campiglia , Alok Laddha

This paper is concerned with the numerical approximation of the isothermal Euler equations for charged particles subject to the Lorentz force. When the magnetic field is large, the so-called drift-fluid approximation is obtained. In this…

Mathematical Physics · Physics 2014-04-08 Pierre Degond , Fabrice Deluzet , Afeintou Sangam , Marie-Hélène Vignal
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