Low's Subleading Soft Theorem as a Symmetry of QED

Abstract

It was shown by F. Low in the 1950s that the subleading terms of soft photon S-matrix elements obey a universal linear relation. In this paper we give a new interpretation to this old relation, for the case of massless QED, as an infinitesimal symmetry of the S-matrix. The symmetry is shown to be locally generated by a vector field on the conformal sphere at null infinity. Explicit expressions are constructed for the associated charges as integrals over null infinity and shown to generate the symmetry. These charges are local generalizations of electric and magnetic dipole charges.

11 pages

References in corpus (5)

• Evidence for a New Soft Graviton Theorem
• Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
• On Loop Corrections to Subleading Soft Behavior of Gluons and Gravitons
• Loop Corrections to Soft Theorems in Gauge Theories and Gravity
• Soft sub-leading divergences in Yang-Mills amplitudes

Cited by in corpus (73)

• Asymptotic symmetries and subleading soft graviton theorem
• Lectures on Celestial Amplitudes
• Holographic Symmetry Algebras for Gauge Theory and Gravity
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• A Periodic Table of Effective Field Theories
• Bridging Carrollian and Celestial Holography
• Symmetries of Celestial Amplitudes
• Sub-subleading soft gravitons and large diffeomorphisms
• Next to subleading soft-graviton theorem in arbitrary dimensions
• Celestial Diamonds: Conformal Multiplets in Celestial CFT
• Infrared quantum information
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Revisiting the Conformally Soft Sector with Celestial Diamonds
• MHV Gluon Scattering Amplitudes from Celestial Current Algebras
• Perturbative gauge theory at null infinity
• Goldilocks Modes and the Three Scattering Bases
• Soft Limits of Yang-Mills Amplitudes and Conformal Correlators
• The Double Copy Structure of Soft Gravitons
• A note on asymptotic symmetries and soft-photon theorem
• On the Subleading-Soft Behaviour of QCD Amplitudes
• Non-abelian infrared divergences on the celestial sphere
• Descendants in celestial CFT and emergent multi-collinear factorization
• Soft pion theorem, asymptotic symmetry and new memory effect
• Soft theorems in maximally supersymmetric theories
• Celestial Superamplitudes
• Radiative phase space extensions at all orders in r for self-dual Yang-Mills and Gravity
• Conformally Soft Fermions
• Celestial Conformal Colliders
• A note on the asymptotic symmetries of electromagnetism
• Symmetries in Celestial CFT${}_d$
• $1/L^2$ corrected soft photon theorem from a CFT${}_3$ Ward identity
• Asymptotic dynamics, large gauge transformations and infrared symmetries
• Infrared finite scattering theory: Amplitudes and soft theorems
• Photon Chiral Memory Effect Stored on Celestial Sphere
• High-energy $\pi \pi$ scattering without and with photon radiation
• Soft Photon theorem in the small negative cosmological constant limit
• Soft theorems in curved spacetime
• Soft-photon radiation in high-energy proton-proton collisions within the tensor-Pomeron approach: Bremsstrahlung
• Supertranslation Hair of Schwarzschild Black Hole: A Wilson Line Perspective
• Asymptotic structure of the Pauli-Fierz theory in four spacetime dimensions
• Classical Soft Theorem in the AdS-Schwarzschild spacetime in small cosmological constant limit
• Radiative Asymptotic Symmetries of 3D Einstein-Maxwell Theory
• Asymptotic $\mathcal{O}(r)$ gauge symmetries and gauge-invariant Poincaré generators in higher spacetime dimensions
• A General Hierarchy of Charges at Null Infinity via the Todd Polynomials
• $\mathcal{O}(r^N)$ two-form asymptotic symmetries and renormalized charges
• Electromagnetic multipole expansions and the logarithmic soft photon theorem
• Radiation in Fluid/Gravity and the Flat Limit
• Asymptotic Structure of Higher Dimensional Yang-Mills Theory
• Asymptotic conservation law with Feynman boundary condition
• Dress code for infrared safe scattering in QED
• A Gallery of Soft Modes: Theory and Experiment at a Ferromagnetic Quantum Phase Transition
• Diamond of Infrared Equivalences in Abelian Gauge Theories
• Soft photon radiation and entanglement
• QED as a many-body theory of worldlines: II. All-order S-matrix formalism
• Different versions of soft-photon theorems exemplified at leading and next-to-leading terms for pion-pion and pion-proton scattering
• Soft Theorems from Boundary Terms in the Classical Point Particle Currents
• Asymptotic conformal symmetry at spatial infinity
• Topics in Asymptotic Symmetries and Infrared Effects
• Infrared photons and asymptotic symmetries
• Linearized gravity and soft graviton theorem in de Sitter spacetime
• Asymptotic Higher Spin Symmetries III: Noether Realization in Yang-Mills Theory
• Surface Gauge Invariance, Soft Limits and the Transmutation of Gluons into Scalars
• Loop corrections versus marginal deformation in celestial holography
• Bremsstrahlung photons from stopping in heavy-ion collisions
• Charge algebra for non-abelian large gauge symmetries at $O(r)$
• Soft-photon theorem for pion-proton elastic scattering revisited
• Perturbative soft graviton theorems in de Sitter spacetime
• A Note on the Analytic Structure of Celestial Amplitudes
• Scalar subleading soft theorems from an infinite tower of charges
• Celestial Holography
• de Sitter corrections to supertranslation Ward identity and soft graviton theorem
• Damping self-forces and Asymptotic Symmetries
• Subleading soft radiation during scattering of dressed states in QED