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The Poisson brackets of the gravitational field at null infinity play a pivotal role in establishing the equivalence between the Ward identities involving BMS charges and the soft graviton theorem. In recent literature it was noticed that,…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Francesco Alessio , Michele Arzano

The soft pion theorem in the inclusive reaction at high energy applied to the current induced reaction is explained briefly. A characteristic aspect of this theorem is the charge asymmetry produced by the pole terms in the soft pion limit.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Susumu Koretune

Gravitational memory, which describes the permanent shift in the strain after the passage of gravitational waves, is directly related to Weinberg's soft graviton theorems and the Bondi-Metzner-Sachs (BMS) symmetry group of asymptotically…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Valerio De Luca , Justin Khoury , Sam S. C. Wong

This chapter reviews the construction of ``soft-collinear gravity'', the effective field theory which describes the interaction of collinear and soft gravitons with matter (and themselves), to all orders in the soft-collinear power…

High Energy Physics - Theory · Physics 2022-10-20 Martin Beneke , Patrick Hager , Robert Szafron

In this paper, we derive a soft photon theorem and a soft gluon theorem in the de Sitter spacetime from the Ward identity of the near cosmological horizon large gauge transformation. Taking the flat limit of the de Sitter spacetime, the…

High Energy Physics - Theory · Physics 2024-01-11 Pujian Mao , Kai-Yu Zhang

We provide a unified treatment of conformally soft Goldstone modes which arise when spin-one or spin-two conformal primary wavefunctions become pure gauge for certain integer values of the conformal dimension $\Delta$. This effort lands us…

High Energy Physics - Theory · Physics 2020-10-28 Laura Donnay , Sabrina Pasterski , Andrea Puhm

We recast the soft $S$-matrices on the celestial sphere as correlation functions of certain $2$-dimensional models of topological defects. In pointing out the double copy structure between the soft photon and soft graviton cases, we arrive…

High Energy Physics - Theory · Physics 2021-04-27 Nikhil Kalyanapuram

We present new soft theorems for photon, gluon, and graviton correlators at tree level in (Anti)-de Sitter space. The results are derived by applying conformal Ward identities to constrain the structure of Witten diagrams.

High Energy Physics - Theory · Physics 2025-06-16 Jiajie Mei , Yuyu Mo

Spontaneous symmetry breaking is studied within a simple version of the light-front sigma model with fermions. Its vacuum structure is derived by an implementation of global symmetries in terms of unitary operators in a finite volume with…

High Energy Physics - Theory · Physics 2011-07-19 L. Martinovic , J. P. Vary

We describe a class of relativistic models incorporating finite density of matter in which spontaneous breakdown of continuous symmetries leads to a lesser number of Nambu-Goldstone bosons than that required by the Goldstone theorem. This…

High Energy Physics - Phenomenology · Physics 2011-07-19 V. A. Miransky , I. A. Shovkovy

We investigate the noncommutative analogue of the spontaneously broken linear sigma model at the one-loop quantum level. In the commutative case, renormalization of a theory with a spontaneously broken continuous global symmetry depends on…

High Energy Physics - Theory · Physics 2009-10-31 Bruce A. Campbell , Kirk Kaminsky

We study exponentiated soft exchange in $d+2$ dimensional gauge and gravitational theories using the celestial CFT formalism. These models exhibit spontaneously broken asymptotic symmetries generated by gauge transformations with…

High Energy Physics - Theory · Physics 2022-01-19 Daniel Kapec , Prahar Mitra

Soft behaviours of S-matrix for massless theories reflect the underlying symmetry principle that enforces its masslessness. As an expansion in soft momenta, sub-leading soft theorems can arise either due to (I) unique structure of the…

High Energy Physics - Theory · Physics 2018-01-17 Andrea L. Guerrieri , Yu-tin Huang , Zhi-Zhong Li , Congkao Wen

We study the supersymmetric model with the A4 lepton flavor symmetry, in particular soft supersymmetry breaking terms, which are predicted from the A4 lepton flavor symmetry. We evaluate soft slepton masses and A-terms within the framework…

High Energy Physics - Phenomenology · Physics 2008-12-25 Hajime Ishimori , Tatsuo Kobayashi , Yuji Omura , Morimitsu Tanimoto

We study the relation between emergent 1-form symmetries and soft photon theorems in QED. We show that in the relevant massive and massless kinematic regimes, described respectively by HQET and SCET, the soft sector admits electric and…

High Energy Physics - Theory · Physics 2026-04-08 Luigi Tizzano

In a class of three-dimensional abelian gauge theory the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field. An originally topologically massive photon becomes gapless, i.e. p_0=0 at {\vec p}=0. Indeed,…

High Energy Physics - Theory · Physics 2007-05-23 Yutaka Hosotani

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 discuss spontaneous symmetry breaking of open classical and quantum systems. When a continuous symmetry is spontaneously broken in an open system, a gapless excitation mode appears corresponding to the Nambu-Goldstone mode. Unlike…

High Energy Physics - Theory · Physics 2020-04-01 Yoshimasa Hidaka , Yuki Minami

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

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