Wilson line approach to gravity in the high energy limit

Abstract

We examine the high energy (Regge) limit of gravitational scattering using a Wilson line approach previously used in the context of non-Abelian gauge theories. Our aim is to clarify the nature of the Reggeization of the graviton and the interplay between this Reggeization and the so-called eikonal phase which determines the spectrum of gravitational bound states. Furthermore, we discuss finite corrections to this picture. Our results are of relevance to various supergravity theories, and also help to clarify the relationship between gauge and gravity theories.

33 pages, 5 figures

References in corpus (18)

• New Relations for Gauge-Theory Amplitudes
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
• Path integral approach to eikonal and next-to-eikonal exponentiation
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• Webs in multiparton scattering using the replica trick
• Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
• Proof of the multi-Regge form of QCD amplitudes with gluon exchanges in the NLA
• Diagrammatic Exponentiation for Products of Wilson Lines
• General properties of multiparton webs: proofs from combinatorics
• High energy scattering in gravity and supergravity
• Regge behavior of gluon scattering amplitudes in N=4 SYM theory
• Two-loop graviton scattering relation and IR behavior in N=8 supergravity
• Four-point Amplitudes in N=8 Supergravity and Wilson Loops
• Reggeization of N=8 Supergravity and N=4 Yang--Mills Theory
• Web worlds, web-colouring matrices, and web-mixing matrices

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• Angular momentum of zero-frequency gravitons
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• Celestial holography on Kerr-Schild backgrounds
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• The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
• When does the gluon reggeize?
• The single copy of the gravitational holonomy
• More on the Classical Double Copy in Three Spacetime Dimensions
• Classical and quantum gravitational scattering with Generalized Wilson Lines
• An Introduction to Webs
• Aspects of High Energy Scattering
• QED as a many-body theory of worldlines: I. General formalism and infrared structure
• Soft collinear effective theory for gravity
• Eikonal Scattering in Kaluza-Klein Gravity
• Celestial IR divergences and the effective action of supertranslation modes
• Classical gravitational scattering from a gauge-invariant double copy
• All-loop-orders relation between Regge limits of $\mathcal{N}=4$ SYM and $\mathcal{N}=8$ supergravity four-point amplitudes
• The Weyl double copy from twistor space
• Dynamics for Super-Extremal Kerr Binary Systems at $\mathcal{O}(G^2)$
• The Eikonal Approximation and the Gravitational Dynamics of Binary Systems
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• Double soft graviton factors from the gravitational Wilson line
• Yang-Mills observables: from KMOC to eikonal through EFT
• On-Shell Perspectives on the Massless Limit of Massive Supergravity