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We show that the subleading soft photon theorem in a $(d+2)$-dimensional massless abelian gauge theory gives rise to a Ward identity corresponding to divergent large gauge transformations acting on the celestial sphere at null infinity. We…

High Energy Physics - Theory · Physics 2020-01-08 Temple He , Prahar Mitra

Scattering amplitudes of any four-dimensional theory with nonabelian gauge group $\mathcal G$ may be recast as two-dimensional correlation functions on the asymptotic two-sphere at null infinity. The soft gluon theorem is shown, for…

High Energy Physics - Theory · Physics 2016-11-23 Temple He , Prahar Mitra , Andrew Strominger

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

We investigate the relation between the subleading soft graviton theorem and asymptotic symmetries in gravity in even dimensions $d=2+2m$ higher than four. After rewriting the subleading soft graviton theorem as a Ward identity, we argue…

High Energy Physics - Theory · Physics 2022-01-24 Dimitri Colferai , Stefano Lionetti

Soft theorems can be recast as Ward identities of asymptotic symmetries. We review such relation for the leading and subleading soft graviton theorems in arbitrary even dimensions. While soft theorems are trivially generalized to dimensions…

High Energy Physics - Theory · Physics 2022-11-30 Stefano Lionetti

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

Motivated by the equivalence between soft graviton theorem and Ward identities for the supertranslation symmetries belonging to the BMS group, we propose a new extension (different from the so-called extended BMS) of the BMS group which is…

High Energy Physics - Theory · Physics 2014-12-18 Miguel Campiglia , Alok Laddha

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

The soft photon theorem in U(1) gauge theories with only massless charged particles has recently been shown to be the Ward identity of an infinite-dimensional asymptotic symmetry group. This symmetry group is comprised of gauge…

High Energy Physics - Theory · Physics 2015-06-10 Daniel Kapec , Monica Pate , Andrew Strominger

Soft theorems in gauge theory and gravity encode the universal properties of scattering amplitudes as the zero frequency limit of one or more external states is approached. When the participating particles are treated in the massless limit,…

High Energy Physics - Theory · Physics 2021-07-15 Nikhil Kalyanapuram

We consider the scattering of massless particles coupled to an abelian gauge field in 2n-dimensional Minkowski spacetime. Weinberg's soft photon theorem is recast as Ward identities for infinitely many new nontrivial symmetries of the…

High Energy Physics - Theory · Physics 2014-12-10 Daniel Kapec , Vyacheslav Lysov , Andrew Strominger

In this paper, we revisit the question of identifying Soft Graviton theorem in higher (even) dimensions with Ward identities associated with Asymptotic symmetries. Building on the prior work of \cite{strominger}, we compute, from first…

High Energy Physics - Theory · Physics 2019-02-04 Ankit Aggarwal

It is known that soft photon and graviton theorems can be regarded as the Ward-Takahashi identities of asymptotic symmetries. In this paper, we consider soft theorem for pions, i.e., Nambu-Goldstone bosons associated with a spontaneously…

High Energy Physics - Theory · Physics 2018-01-17 Yuta Hamada , Sotaro Sugishita

In [15] we proposed a generalization of the BMS group G which is a semidirect product of supertranslations and smooth diffeomorphisms of the conformal sphere. Although an extension of BMS, G is a symmetry group of asymptotically flat space…

High Energy Physics - Theory · Physics 2015-06-11 Miguel Campiglia , Alok Laddha

We present a Ward identity for nonlinear sigma models using generalized nonlinear shift symmetries, without introducing current algebra or coset space. The Ward identity constrains correlation functions of the sigma model such that the…

High Energy Physics - Theory · Physics 2018-02-26 Ian Low , Zhewei Yin

The symmetries of asymptotically flat spacetimes impose constraints on observables at infinity. The consequences of this have been extensively explored for S-matrix elements, where soft theorems are known to be equivalent to Ward identities…

High Energy Physics - Theory · Physics 2025-12-03 Ian Moult , Sruthi A. Narayanan , Sabrina Pasterski

We investigate asymptotic symmetries which preserve the Bondi gauge conditions but do not preserve the asymptotic falloff conditions for the metric near the null boundary, and their connection to soft graviton theorems for scattering…

High Energy Physics - Theory · Physics 2022-12-07 Bart Horn

We consider soft electrons in massless QED at tree-level. The emission amplitude at leading order in the soft electron energy factorizes in a way similar to the soft photon case. We recast the soft electron factorization formula as a Ward…

High Energy Physics - Theory · Physics 2023-07-24 Adrián Agriela , Miguel Campiglia

S-matrix elements exhibit universal factorization when multiple infrared photons are emitted in scattering processes. We explicitly show that the leading soft factorization of tree-level amplitudes with the emission of any number of soft…

High Energy Physics - Theory · Physics 2021-10-13 Zhengwen Liu , Pujian Mao

We extend a previously developed formulation of the S-matrix, based on a path integral with asymptotic boundary conditions, to include gravity. The path integral defines a Carrollian boundary partition function whose invariance under…

High Energy Physics - Theory · Physics 2026-05-12 Jack Isen , Per Kraus , Ruben Monten , Richard M. Myers
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