Celestial Amplitudes from UV to IR

Abstract

Celestial amplitudes represent 4D scattering of particles in boost, rather than the usual energy-momentum, eigenstates and hence are sensitive to both UV and IR physics. We show that known UV and IR properties of quantum gravity translate into powerful constraints on the analytic structure of celestial amplitudes. For example the soft UV behavior of quantum gravity is shown to imply that the exact four-particle scattering amplitude is meromorphic in the complex boost weight plane with poles confined to even integers on the negative real axis. Would-be poles on the positive real axis from UV asymptotics are shown to be erased by a flat space analog of the AdS resolution of the bulk point singularity. The residues of the poles on the negative axis are identified with operator coefficients in the IR effective action. Far along the real positive axis, the scattering is argued to grow exponentially according to the black hole area law. Exclusive amplitudes are shown to simply factorize into conformally hard and conformally soft factors. The soft factor contains all IR divergences and is given by a celestial current algebra correlator of Goldstone bosons from spontaneously broken asymptotic symmetries. The hard factor describes the scattering of hard particles together with the boost-eigenstate clouds of soft photons or gravitons required by asymptotic symmetries. These provide an IR safe $\mathcal{S}$-matrix for the scattering of hard particles.

arXiv comment43 pages

References in corpus (46)

• Causality, Analyticity and an IR Obstruction to UV Completion
• BMS supertranslations and Weinberg's soft graviton theorem
• On graviton non-Gaussianities during inflation
• New Symmetries of Massless QED
• Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
• Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
• A Conformal Basis for Flat Space Amplitudes
• A holographic reduction of Minkowski space-time
• Gluon Amplitudes as 2d Conformal Correlators
• New positivity bounds from full crossing symmetry
• Positivity Bounds for Scalar Theories
• 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
• New Recursion Relations and a Flat Space Limit for AdS/CFT Correlators
• Extremal Effective Field Theories
• Conformally Soft Photons and Gravitons
• Infrared Divergences in QED, Revisited
• Conformally Soft Theorem in Gauge Theory
• Celestial amplitudes and conformal soft theorems
• Asymptotic Symmetries and Celestial CFT
• Symmetries of Celestial Amplitudes
• The gravitational S-matrix
• Magnetic Corrections to the Soft Photon Theorem
• Conformally Soft Theorem In Gravity
• Strings on Celestial Sphere
• Tree-level gluon amplitudes on the celestial sphere
• Bootstrapping QCD: the Lake, the Peninsula and the Kink
• Asymptotic Symmetries and Electromagnetic Memory
• Celestial Amplitudes: Conformal Partial Waves and Soft Limits
• Ultrarelativistic black hole formation
• Eikonal methods applied to gravitational scattering amplitudes
• Conformal Basis, Optical Theorem, and the Bulk Point Singularity
• S-matrix Bootstrap for Effective Field Theories: Massless Pions
• MHV Graviton Scattering Amplitudes and Current Algebra on the Celestial Sphere
• Soft Factorization in QED from 2D Kac-Moody Symmetry
• BMS Supertranslation Symmetry Implies Faddeev-Kulish Amplitudes
• Double Copy for Celestial Amplitudes
• The Soft $\mathcal{S}$-Matrix in Gravity
• Loops on the Celestial Sphere
• Celestial double copy from the worldsheet
• Four-graviton scattering to three loops in $\mathcal{N}=8$ supergravity
• On loop celestial amplitudes for gauge theory and gravity
• Conformal Primary Basis for Dirac Spinors
• Massive Celestial Fermions
• Dressed states from gauge invariance
• IR finite S-matrix by gauge invariant dressed states
• Soft Photon Hair on Schwarzschild Horizon from a Wilson Line Perspective

Cited by in corpus (57)

• Holographic Symmetry Algebras for Gauge Theory and Gravity
• Into the EFThedron and UV constraints from IR consistency
• Celestial Diamonds: Conformal Multiplets in Celestial CFT
• Conformal Block Expansion in Celestial CFT
• Shifting Spin on the Celestial Sphere
• Revisiting the Conformally Soft Sector with Celestial Diamonds
• Loop-corrected subleading soft theorem and the celestial stress-tensor
• Shadows and Soft Exchange in Celestial CFT
• Angular momentum of zero-frequency gravitons
• Ambidextrous light transforms for celestial amplitudes
• Celestial holography on Kerr-Schild backgrounds
• Gravitational Regge bounds
• Goldilocks Modes and the Three Scattering Bases
• Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations
• The Stringy S-matrix Bootstrap: Maximal Spin and Superpolynomial Softness
• Loop-level gluon OPEs in celestial holography
• Bulk locality from the celestial amplitude
• A Comment on Loop Corrections to the Celestial Stress Tensor
• Revisiting the Shadow Stress Tensor in Celestial CFT
• Quantizing Carrollian field theories
• Notes on Resonances and Unitarity from Celestial Amplitudes
• (Chiral) Virasoro invariance of the tree-level MHV graviton scattering amplitudes
• From Shockwaves to the Gravitational Memory Effect
• Celestial amplitudes in an ambidextrous basis
• Celestial Recursion
• Entanglement, Soft Modes, and Celestial Holography
• Symmetries in Celestial CFT${}_d$
• Celestial Geometry
• Celestial insights into the S-matrix bootstrap
• Chaos in Celestial CFT
• Exposing the threshold structure of loop integrals
• Nonrelativistic effective field theories with enhanced symmetries and soft behavior
• Integrable Field Theories and Their CCFT Duals
• QED as a many-body theory of worldlines: I. General formalism and infrared structure
• Celestial amplitude for 2d theory
• AdS correction to the Faddeev-Kulish state: Migrating from the Flat Peninsula
• Field theory expansions of string theory amplitudes
• Celestial IR divergences in general most-subleading-color gluon and gravity amplitudes
• $p$-Forms on the Celestial Sphere
• Zwanziger's pairwise little group on the celestial sphere
• An On-Shell Derivation of the Soft Effective Action in Abelian Gauge Theories
• Celestial IR divergences and the effective action of supertranslation modes
• The Sky Remembers everything: Celestial amplitude, Shadow and OPE in quadratic EFT of gravity
• Currents in Celestial CFT
• Mapping SYK to the Sky
• Dress code for infrared safe scattering in QED
• Causality and dimensionality in geometric scattering
• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
• QED as a many-body theory of worldlines: II. All-order S-matrix formalism
• A Celestial Route to AdS Bulk Locality
• The strong CP problem, general covariance, and horizons
• Celestial Quantum Error Correction II: From Qudits to Celestial CFT
• Loop corrections versus marginal deformation in celestial holography
• Celestial Eikonal Amplitudes in the Near-Horizon Region
• Non-abelian soft radiation data for a celestial theory
• A Note on the Analytic Structure of Celestial Amplitudes
• Celestial Regge theory