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The universality of the logarithmic soft photon theorem in four dimensions can be traced to an infinite-dimensional asymptotic symmetry which acts as a local phase rotation on matter as we have shown in 2403.13053. Here we extend our…

High Energy Physics - Theory · Physics 2025-09-23 Sangmin Choi , Alok Laddha , Andrea Puhm

A framework of connections between asymptotic symmetries, soft theorems, and memory effects has recently shed light on a universal structure associated with infrared physics. Here, we show how this pattern has been used to fill in missing…

High Energy Physics - Theory · Physics 2019-10-24 Sabrina Pasterski

It is shown that there is a universal gravitational memory effect measurable by inertial detectors in even spacetime dimensions $d\geq 4$. The effect falls off at large radius $r$ as $r^{3-d}$. Moreover this memory effect sits at one corner…

High Energy Physics - Theory · Physics 2018-08-01 Monica Pate , Ana-Maria Raclariu , Andrew Strominger

After motivating the relevance of the Bondi-Metzner-Sachs (BMS) group over the last decades, we review how concepts such as Penrose diagrams and the covariant phase space formalism can be used to understand the asymptotic structure of…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Xavier Kervyn

The logarithmic soft photon theorem in four spacetime dimensions encodes an infinite-dimensional asymptotic symmetry which acts on massive matter as a divergent superphaserotation. Here we extend this result to massless matter which is both…

High Energy Physics - Theory · Physics 2026-01-12 Sangmin Choi , Ameya Kadhe , Andrea Puhm

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

In general relativity, gravitational memory describes the lasting change in the separation and relative velocity of freely falling detectors after the passage of gravitational waves (GWs). In this paper, we elucidate the relation between…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Valerio De Luca , Justin Khoury , Sam S. C. Wong

In \cite{1808.03288}, logarithmic correction to subleading soft photon and soft graviton theorems have been derived in four spacetime dimensions from the ratio of IR-finite S-matrices. This has been achieved after factoring out IR-divergent…

High Energy Physics - Theory · Physics 2023-11-15 Hare Krishna , Biswajit Sahoo

The single-soft-graviton limit of any quantum gravity scattering amplitude is given at leading order by the universal Weinberg pole formula. Gauge invariance of the formula follows from global energy-momentum conservation. In this paper…

High Energy Physics - Theory · Physics 2014-06-11 Freddy Cachazo , Andrew Strominger

A framework that structures the gravitational memory effects and which is consistent with gravitational electric-magnetic duality is presented. A correspondence is described between memory observables, particular subleading residual gauge…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Geoffrey Compère

In theories with conserved dipole moment, isolated charged particles (fractons) are immobile, but dipoles can move. We couple these dipoles to the fracton gauge theory and analyze the universal infrared structure. This uncovers an…

High Energy Physics - Theory · Physics 2023-12-27 Alfredo Pérez , Stefan Prohazka , Ali Seraj

Following a semi-classical eikonal approach --- justified at transplanckian energies order by order in the deflection angle $\Theta_s\sim\frac{4G\sqrt{s}}{b} \equiv \frac{2 R}{b}$ --- we investigate the infrared features of gravitational…

High Energy Physics - Theory · Physics 2019-03-27 Marcello Ciafaloni , Dimitri Colferai , Gabriele Veneziano

The gravitational $\mathcal{S}$-matrix defined with an infrared (IR) cutoff factorizes into hard and soft factors. The soft factor is universal and contains all the IR and collinear divergences. Here we show, in a momentum space basis, that…

High Energy Physics - Theory · Physics 2020-12-16 Elizabeth Himwich , Sruthi A. Narayanan , Monica Pate , Nisarga Paul , Andrew Strominger

Classical limit of multiple soft graviton theorem can be used to compute the angular power spectrum of long wavelength gravitational radiation in classical scattering provided the total energy carried away by the radiation is small compared…

High Energy Physics - Theory · Physics 2018-10-17 Alok Laddha , Ashoke Sen

In this work, it is shown that based on the linear analysis, as long as a theory of gravity is diffeomorphism invariant and possesses the tensor degrees of freedom propagating at a constant, isotropic speed without dispersion, its…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Shaoqi Hou

In the present note we show that the recently established connections between soft theorems, large gauge transformations and memories are persistant in the infrared safe formulation of quantum field theory. They take a different and…

High Energy Physics - Theory · Physics 2017-04-13 Mischa Panchenko

It has been known for some time that the asymptotic structure of spacetime and soft theorems are closely related. To study the structure of future null infinity, studying the classical soft graviton theorem is often quite helpful. The…

General Relativity and Quantum Cosmology · Physics 2023-12-01 Raikhik Das

Any non-trivial scattering with massless fields in four spacetime dimensions will generically produce an out-state with memory. Scattering with any massless fields violates the standard assumption of asymptotic completeness -- that all "in"…

High Energy Physics - Theory · Physics 2024-11-04 Kartik Prabhu , Gautam Satishchandran

The symmetries of the gravitational scattering are intimately tied to the symmetries which preserve asymptotic flatness at null infinity. In Penrose's definition of asymptotic flatness, a central role is played by the notion of asymptotic…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Marc Geiller , Alok Laddha , Céline Zwikel

Gauge and gravitational theories in asymptotically flat settings possess infinitely many conserved charges associated with large gauge transformations or diffeomorphisms that are nontrivial at infinity. To what extent do these charges…

High Energy Physics - Theory · Physics 2024-10-18 Eanna E. Flanagan , Ibrahim Shehzad
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