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We describe the connection between spontaneously-broken higher symmetries and soft theorems for scattering amplitudes of their associated Nambu-Goldstone bosons. Our main result is a new sub-leading double soft pion theorem in theories with…

High Energy Physics - Theory · Physics 2026-02-24 Jonah Berean-Dutcher , Maria Derda , Julio Parra-Martinez

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 soft photon and soft graviton theorems of Weinberg are known to derive from conservation laws associated with asymptotic symmetries. Within the corresponding classical theories, one often speaks of spontaneous symmetry breaking and…

High Energy Physics - Theory · Physics 2025-07-10 Shreyansh Agrawal , Kevin Nguyen

A variety of condensed matter systems describe gapless modes that can be interpreted as Nambu-Goldstone bosons of spontaneously broken Poincar\'e symmetry. In this paper we derive new soft theorems constraining the tree-level scattering of…

High Energy Physics - Theory · Physics 2024-05-13 Clifford Cheung , Maria Derda , Andreas Helset , Julio Parra-Martinez

We show that the soft photon, gluon and graviton theorems can be understood as the Ward-Takahashi identities of large gauge transformation, i.e., diffeomorphism that does not fall off at spatial infinity. We found infinitely many new…

High Energy Physics - Theory · Physics 2018-05-23 Yuta Hamada , Gary Shiu

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

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

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

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

Recently, the leading soft gluon theorem with single soft emission was shown to be the Ward identity of a two dimensional $\cal G$-Kac-Moody symmetry. In this note, we show that the leading soft gluon theorem can be interpreted as the Ward…

High Energy Physics - Theory · Physics 2021-10-12 Pujian Mao , Jun-Bao Wu

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

In recent years soft factorization theorems in scattering amplitudes have been reinterpreted as conservation laws of asymptotic charges. In gauge, gravity, and higher spin theories the asymptotic charges can be understood as canonical…

High Energy Physics - Theory · Physics 2019-04-18 Miguel Campiglia , Laurent Freidel , Florian Hopfmüller , Ronak M Soni

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

Extensions of the photon and graviton soft theorems are derived in 4d local effective field theories with massless particles of arbitrary spin. We prove that effective operators can result in new terms in the soft theorems at subleading…

High Energy Physics - Theory · Physics 2017-06-14 Henriette Elvang , Callum R. T. Jones , Stephen G. Naculich

We use the asymptotic data at conformal null-infinity $\mathscr{I}$ to formulate Weinberg's soft-photon theorem for Abelian gauge theories with massless charged particles. We show that the angle-dependent gauge transformations at…

High Energy Physics - Theory · Physics 2015-06-23 Arif Mohd

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

We study the soft behavior of two seemingly different particles that are both referred to as dilatons in the literature, namely the one that appears in theories of gravity and in string theory and the Nambu-Goldstone boson of spontaneously…

High Energy Physics - Theory · Physics 2016-04-22 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza , Josh Nohle

We identify in Einstein gravity an asymptotic spin-$2$ charge aspect whose conservation equation gives rise, after quantization, to the sub-subleading soft theorem. Our treatment reveals that this spin-$2$ charge generates a non-local…

High Energy Physics - Theory · Physics 2022-06-15 Laurent Freidel , Daniele Pranzetti , Ana-Maria Raclariu

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

The implications of the hidden, spontaneously broken symmetry for the properties of the sound waves of a solid are analyzed. Although the discussion does not go beyond standard wisdom, it presents some of the known results from a different…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Leutwyler
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