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Averaged null energy and the renormalisation group

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If you have a question about this talk, please contact Bernardo Zan.

The averaged null energy operator (ANEC) is a light-ray integral of the null energy, which is known to have far-reaching consequences in CFT , such as the Lorentzian Inversion Formula. It is also closely connected to modular Hamiltonian in QFT . In this talk, I will discuss a new connection between the ANEC operator and monotonicity of the renormalization group. In particular, I will show how the 2d c-theorem and 4d a-theorem can be derived using the ANEC . This derivation relies on contact terms appearing in specific ANEC correlators. I will also review a new infinite set of constraints that can be derived from the ANEC in 2d QFT . This program hints at a more general role for light-ray operators in QFT , which I will argue for.

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

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