Large Gauge Effects and the Structure of Amplitudes

Abstract

We show that large gauge transformations modify the structure of momentum conservation leading to non-vanishing three-point amplitudes in a simple toy model of a gravitational wave event. This phenomenon resolves an apparent tension between perturbative scattering amplitude computations and exact methods in field theory. The tension is resolved to all orders of perturbation theory once large gauge effects are included via a modified LSZ prescription; if they are omitted, perturbative methods only recover a subset of terms in the full non-perturbative expression. Although our results are derived in the context of specific examples, several aspects of our work have analogues in dynamical gravitational scattering processes.

41 pages, one tikz figure

References in corpus (37)

• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Advances in QED with intense background fields
• Black holes and the double copy
• Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at $O(G^4)$
• Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-eccentricity Expansion
• Radiation Reaction and Gravitational Waves at Fourth Post-Minkowskian Order
• Energetics of two-body Hamiltonians in post-Minkowskian gravity
• Scattering on plane waves and the double copy
• Static two-body potential at fifth post-Newtonian order
• Eikonal phase matrix, deflection angle and time delay in effective field theories of gravity
• Radiation-Reaction in the Effective Field Theory Approach to Post-Minkowskian Dynamics
• Binary Dynamics Through the Fifth Power of Spin at $\mathcal{O}(G^2)$
• From amplitudes to gravitational radiation with cubic interactions and tidal effects
• Radiated Angular Momentum and Dissipative Effects in Classical Scattering
• The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach: potential contributions
• Classical gravitational spinning-spinless scattering at $\mathcal{O}(G^2{S}^{\infty })$
• Next-to-soft corrections to high energy scattering in QCD and gravity
• Infrared features of gravitational scattering and radiation in the eikonal approach
• The SAGEX Review on Scattering Amplitudes
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics
• The 6th Post-Newtonian Potential Terms at $O(G_N^4)$
• Angular momentum of zero-frequency gravitons
• Eikonal amplitudes from curved backgrounds
• Scalar QED as a toy model for higher-order effects in classical gravitational scattering
• Angular momentum loss in gravitational scattering, radiation reaction, and the Bondi gauge ambiguity
• Gravitational Spin-Orbit Hamiltonian at NNNLO in the post-Newtonian framework
• Rescattering corrections and self-consistent metric in Planckian scattering
• Back-reaction on background fields: a coherent state approach
• A note on the absence of $R^2$ corrections to Newton's potential
• N${}^3$LO Quadratic-in-Spin Interactions for Generic Compact Binaries
• N${}^3$LO Spin-Orbit Interaction via the EFT of Spinning Gravitating Objects
• Graviton scattering in self-dual radiative space-times
• Memory, Penrose Limits and the Geometry of Gravitational Shockwaves and Gyratons
• A Supertranslation-Invariant Formula for the Angular Momentum Flux in Gravitational Scattering
• A tale of tails through generalized unitarity
• Classical gravitational scattering from a gauge-invariant double copy

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