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Article
Astronomy & Astrophysics
Stephan Stieberger et al.
Summary: In this article, we investigate the Yang-Mills theory where the coupling constant and theta angle are determined by the vacuum expectation values of a dynamical dilaton field. We analyze the tree-level N-gluon MHV scattering amplitudes in the presence of a nontrivial dilaton field and calculate the corresponding celestial amplitudes using Mellin transforms. We find that the celestial Yang-Mills amplitudes evaluated with a spherical dilaton shockwave can be expressed as correlation functions of primary field operators in the semiclassical limit of Liouville theory.
Article
Physics, Particles & Fields
Sabrina Pasterski
Summary: In this study, we demonstrate the matching of the 1-loop exact correction to the subleading soft graviton theorem with the quadratic corrections to the soft charges computed from the BMS flux algebra. We also analyze how the BMS flux construction extends the celestial diamond framework to non-linear order and non-trivial vacua, and provides the natural symmetry generators for Celestial CFT.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Daniel Kapec et al.
Summary: We compute the Mellin transforms of various two-dimensional integrable S-matrices, providing the first explicit, non-perturbative realizations of celestial CFT. In two dimensions, the Mellin transform is simply the Fourier transform in rapidity space, and the celestial correlator has no position dependence. The simplified setting allows us to study the analytic properties of CCFT correlators exactly as a function of the conformal dimensions. We find that the correlators exist as real distributions of the conformal weights, with asymptotics controlled by the mass spectrum and three-point couplings of the model. Coupling these models to a flat space limit of JT gravity preserves integrability and dresses the amplitudes by a rapidly varying gravitational phase. We find that the coupling to gravity smooths out certain singular aspects of the Mellin-transformed correlators.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Nava Gaddam et al.
Summary: In this study, the information paradox is investigated as a scattering problem. The authors provide answers to the scattering amplitude for N particles emerging from a large black hole when two energetic particles are thrown into it and the recovery time for the sent information. The significant finding is that the characteristic time spent by the particles in the scattering region is indeed Page time, confirming previous expectations.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Nava Gaddam et al.
Summary: This study investigates scattering on the black hole horizon in a partial wave basis, with a impact parameter of the order of the Schwarzschild radius or less. The calculation lends further support to the scattering matrix approach to quantum black holes.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Atul Sharma
Summary: We provide a new systematic approach to address the distributional nature of low multiplicity amplitudes of gluons and gravitons in celestial coordinates. By studying light transformed boost eigenstates, we are able to recast two- and three-point celestial amplitudes in terms of standard conformally covariant structures. This ambidextrous prescription allows for the extraction of celestial OPE examples for light transformed operators.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
E. Himwich et al.
Summary: This study investigates the operator product expansion of massless celestial primary operators of arbitrary spin and finds a set of recursion relations and a solution using the Euler beta function, which satisfy additional symmetry transformations.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Horatiu Nastase et al.
Summary: This paper examines the infrared divergences of most-subleading color gluon amplitudes in the 1/N expansion and their similarities with gravity amplitudes in this regard. A simple celestial exponentiation formula for the dipole part is proposed, and the modification of this exponentiation by non-dipole contributions is analyzed. It is also shown that in the Regge limit, the soft factor satisfies the Knizhnik-Zamolodchikov equation, suggesting that an effective Wess-Zumino-Witten model may describe the dynamics of the infrared sector in this limit.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Hongliang Jiang
Summary: This paper investigates the holographic symmetry algebra and Ward identities in the supersymmetric Einstein-Yang-Mills theory. By analyzing the OPE between soft symmetry currents and hard operators, the mathematical expressions for the Ward identities are found, which reproduce the known soft graviton and soft gluon theorems. Using shadow transformations, new Ward identities including the stress tensor Ward identities for sub-leading soft graviton are obtained. In addition, general formulas for the celestial OPE and its corresponding Ward identities arising from a cubic interaction of three spinning massless particles are derived, allowing for the exploration of corrections to Ward identities in effective field theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Arjun Kar et al.
Summary: This study constructs a Hermitian random matrix model to provide a stable nonperturbative completion of Cangemi-Jackiw gravity theory and computes observables in flat space quantum gravity to characterize the Bondi Hamiltonian spectrum. The implications of these results for the flat space S-matrix and black holes are discussed.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Particles & Fields
Eduardo Casali et al.
Summary: This paper explores a marginal deformation of the celestial CFT in Yang-Mills theory, which preserves 2D conformal invariance while breaking spacetime translation and scale invariance. The resulting MHV celestial amplitudes are found to be finite in the presence of soft and collinear divergences and isolated poles. These amplitudes can be rewritten in terms of AdS(3)-Witten contact diagrams, which evaluate to the well-known D-functions, establishing a direct connection between flat and AdS holography.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Tim Adamo et al.
Summary: The article presents a method for computing the operator product expansions of gluons and gravitons in celestial CFT. It discusses the properties of the worldsheet OPE, including its coincidence with the OPE limit of operator insertions on the celestial sphere, and its encoding of infinite-dimensional symmetry algebras associated with conformally soft sectors of gauge theory and gravity.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Laura Donnay et al.
Summary: The paper examines massless scattering from the perspectives of position, momentum, and celestial bases, showcasing different properties of physical processes. It focuses on the infrared triangle, soft theorems, memory effects, and celestial symmetry algebras. By studying the celestial basis, the authors find it is particularly adept at identifying symmetry structures and resolving tensions between different theoretical frameworks.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Sabrina Pasterski et al.
Summary: Celestial holography explores the duality between gravitational scattering and conformal field theory, revealing non-trivial backreaction effects in the soft sector that exhibit characteristics of maximal quantum chaos.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Laura Donnay et al.
Summary: This study demonstrates that the one-loop exact subleading soft graviton theorem can be derived automatically from the conservation of BMS charges. This confirms the genuine symmetries of the gravitational S-matrix beyond the semiclassical regime. In addition, the celestial stress tensor accounting for the one-loop corrections is found through gravitational phase space analysis, without the need for divergent counterterms. Furthermore, the symplectic form on the radiative phase space is shown to factorize into hard and soft sectors, with the resulting canonical generators precisely matching the correct BMS fluxes.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Wei Fan et al.
Summary: In celestial holography, four-dimensional scattering amplitudes can be transformed into two-dimensional conformal correlators using Mellin transforms. However, for massless particles, this transformation leads to correlators that are only non-zero on a measure zero hypersurface of celestial coordinates. By coupling Yang-Mills theory to a background dilaton field, the problem can be solved and the resulting amplitudes satisfy the properties expected from standard conformal field theory correlators.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Tim Adamo et al.
Summary: In this study, we generalize the KMOC formalism to relate classical observables and scattering amplitudes to curved backgrounds. We demonstrate how to compute the final semiclassical state for a particle moving in a curved background using scattering amplitudes. Two-point amplitudes in this framework correspond to conservative physics with background-dependent memory effects. As an application, we investigate plane wave and shock wave backgrounds in electromagnetism and general relativity. We determine the final semiclassical state and show that it satisfies a notion of double copy on curved backgrounds. Additionally, we calculate the impulse of a particle on such backgrounds, deriving exact results and velocity memory effects.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Sabrina Pasterski et al.
Summary: The infrared behavior of gravity in 4D asymptotically flat spacetime has diverse symmetries. A 2D generalization of SYK model is proposed as an instructive toy model for the soft limit of the gravitational sector in 4D asymptotically flat spacetime, which captures the symmetries and soft dynamics of 4D gravity. The holographic map from 2D SYK operators to the 4D bulk uses the Penrose twistor transform.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Astronomy & Astrophysics
Laurent Freidel et al.
Summary: In this paper, we extract a dynamical system describing the time evolution of an infinity of higher-spin charges from the large-r expansion of the vacuum Einstein's equations. We evaluate the canonical action of these charges on the gravity phase space through integration. Truncating this action to quadratic order and considering the associated charge conservation laws, we obtain an infinite tower of soft theorems. We demonstrate that the canonical action of the higher spin charges on gravitons and the conformally soft gravitons in a conformal primary basis reproduce the higher spin celestial symmetries derived from the operator product expansion. Additionally, we provide direct evidence that these charges form a canonical representation of a w1+infinity loop algebra on the gravitational phase space.
Article
Astronomy & Astrophysics
Daniel Kapec et al.
Summary: This study investigates the exponentiated soft exchange in gauge and gravitational theories using the celestial conformal field theory formalism. It is found that these models exhibit spontaneously broken asymptotic symmetries and the effective dynamics of the associated Goldstone edge mode is d-dimensional. The introduction of an infrared regulator explicitly breaks these symmetries, resulting in a d-dimensional pseudo-Goldstone boson for the regulated theory. The study shows that symmetry principles are sufficient to calculate soft exchange in gauge theory and gravity, reproducing the Abelian infrared divergences and soft theorems in various dimensions.
Article
Physics, Multidisciplinary
Eduardo Casali et al.
Summary: The study focuses on celestial amplitudes using conformal primary wave functions instead of plane waves, providing a new opportunity to explore properties of amplitudes with manifest conformal covariance. While translation invariance is obscured in the conformal basis, features of amplitudes crucially relying on it seem to be lost. Despite this, properties of amplitudes reflecting fundamental aspects of the perturbative regime of quantum field theory are expected to survive a change of basis.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Particles & Fields
Temple He et al.
Summary: The study examines the infrared sector of massless non-abelian gauge theories in four-dimensional Minkowski spacetime using the covariant phase space formalism, considering boundary contributions and demonstrating an infinite degeneracy of vacua upon quantization. It reveals a remarkably simple and universal Hilbert space of the vacuum sector, deriving a Ward identity that relates n-point amplitudes between two generic in- and out-vacuum states to those computed in standard QFT. The familiar single soft gluon theorem and multiple consecutive soft gluon theorem are shown to be consequences of the Ward identity.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Shamik Banerjee et al.
Summary: The subleading terms in the OPE are determined by demanding that both sides of the OPE transform identically under a local symmetry algebra; positive helicity gravitons have null states under this local algebra, leading to differential equations for MHV amplitudes; an n point MHV amplitude satisfies two systems of (n - 2) linear first order PDEs corresponding to (n - 2) positive helicity gravitons.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Shamik Banerjee et al.
Summary: The Mellin transform of an n-point tree level MHV gluon scattering amplitude satisfies a system of (n-2) linear first order partial differential equations for (n-2) positive helicity gluons, resembling Knizhnik-Zamolodchikov equations. An additional correction term from the subleading soft gluon current algebra is present. These equations can be used to compute the leading term in the gluon-gluon OPE on the celestial sphere. Similar equations exist for momentum space tree level MHV scattering amplitudes.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
A. Guevara et al.
Summary: In asymptotically flat spacetimes, all 4D gauge and gravitational theories possess an infinite number of non-trivial symmetries described by generalized 2D currents. The construction of these symmetries and their algebras from positive-helicity photons, gluons, or gravitons with integer conformal weights generates an infinite tower of conformally soft theorems. The current algebra commutators, derived from the poles in the OPE coefficients, form a rich closed subalgebra of the complete symmetry algebra.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Eduardo Casali et al.
Summary: Through the use of ambitwistor strings, tree-level celestial amplitudes for biadjoint scalars, Yang-Mills, and gravity have been computed for all multiplicities. They are expressed in compact CHY-like formulas with operator-valued scattering equations and numerators acting on a generalized hypergeometric function. This extends the celestial double copy to tree-level amplitudes with arbitrary number of external states, and demonstrates the implementation of color-kinematics duality in celestial amplitudes with an interpretation in terms of a generalized twisted cohomology theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Alfredo Guevara et al.
Summary: The Newman-Janis shift property of the Kerr solution can be explained through a worldsheet effective action, not only in gravity but also in the single-copy Kerr solution in electrodynamics. Furthermore, this shift is also applicable to the leading interactions of the Kerr black hole, which can be conveniently described using chiral classical equations of motion and the spinor-helicity method familiar from scattering amplitudes.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Paolo Di Vecchia et al.
Summary: The recently discovered radiation reaction terms at the third post-Minkowskian order play a crucial role in restoring smooth continuity between different regimes. A new connection between RR and soft theorems has been proposed and applied to Einstein's gravity and its Jordan-Brans-Dicke extension, showing agreement with previous results.
Article
Physics, Particles & Fields
Hernan A. Gonzalez et al.
Summary: The all-loop resummation of SU(N) gauge theory amplitudes factors into an IR-divergent factor and a finite piece, with the latter being process-dependent. This factorization persists for celestial amplitudes, where the soft/collinear factor becomes a scalar correlator. The effect on the hard amplitude is a shift in scaling dimensions by an infinite amount proportional to the cusp anomalous dimension.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
N. Arkani-Hamed et al.
Summary: The text explains the characteristics of celestial amplitudes and their constraints on quantum gravity, including the analytic structure of amplitudes, pole positions, and operator coefficients in the IR effective action.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Alexander Atanasov et al.
Summary: The study calculates the 4D four-point scattering amplitude of massless scalars via a massive exchange, expressed in a basis of conformal primary particle wave functions, and further expands it in a basis of 2D conformal partial waves. By rewriting it as a sum over 2D conformal blocks through contour deformation, it is found that the conformal blocks include intermediate exchanges of spinning lightray states and scalar states with positive integer conformal weights. The conformal block prefactors are noted to be quadratic in the celestial operator product expansion coefficients.
Article
Astronomy & Astrophysics
Sabrina Pasterski et al.
Summary: In this work, conformal primary wave functions for different spins are explored and their relationships and physical implications are explained. A novel generalization of conformal primary wave functions is proposed, including a wide range of physically interesting metrics.
Article
Physics, Particles & Fields
Kevin Nguyen et al.
Summary: Recent research has suggested that infrared divergences in perturbative gravitational scattering amplitudes are governed by the two-point function of the supertranslation Goldstone mode on the celestial sphere. The form of this celestial two-point function is derived from an effective action that also controls infrared divergences in the symplectic structure of General Relativity with asymptotically flat boundary conditions. This effective action plays a key role in a path integral formulation of a celestial conformal field theory, as demonstrated by the re-derivation of infrared soft factors in terms of celestial correlators. The analysis relies on a well-posed action principle introduced by Compere and Dehouck near spatial infinity.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Lorenzo Magnea
Summary: This study explores the infrared factorization of non-abelian multi-particle scattering amplitudes, identifying a universal color operator responsible for infrared divergences. The color-dipole contributions to the infrared operator are found to have a simple expression in certain coordinates, with scale and coupling factors separated from kinematics and color. By generalizing earlier suggestions in abelian theory, the study demonstrates that the infrared operator can be computed as a correlator of vertex operators in a conformal field theory. Verifications through OPE confirm the theory's predictions on collinear limits and tree-level factorization of soft real radiation.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Ricardo Monteiro et al.
Summary: The study demonstrates that classical objects computed by massive three-point amplitudes in gauge theory and gravity are Newman-Penrose scalars in a split-signature spacetime. These three-point amplitudes can define real kinematics and the quantum state set up by the particle is a coherent state fully determined by the three-point amplitude.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
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Physics, Particles & Fields
Nima Arkani-Hamed et al.
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(2020)
Correction
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Andrea Puhm
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