Gravitational Regge bounds (CANCELLED)

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• Alexander Zhiboedov (CERN)
• Thursday 17 March 2022, 13:00-14:00
• Online (Zoom).

If you have a question about this talk, please contact Chiung Hwang.

We review the basic assumptions and spell out the detailed arguments that lead to the bound on the Regge growth of gravitational scattering amplitudes. The minimal extra ingredient compared to the gapped case – in addition to unitarity, analyticity, subexponentiality, and crossing – is the assumption that scattering at large impact parameters is controlled by known semi-classical physics. We bound the Regge growth of amplitudes both with the fixed transferred momentum and smeared over it. Our basic conclusion is that gravitational scattering amplitudes admit dispersion relations with two subtractions. For a sub-class of smeared amplitudes, black hole formation reduces the number of subtractions to one. Finally, using dispersion relations with two subtractions we derive bounds on the local growth of relativistic scattering amplitudes. Schematically, the local bound states that the amplitude cannot grow faster than s^2.

This talk is part of the Quantum Fields and Strings Seminars series.

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