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SUMMARY:Averaged null energy and the renormalisation group - Gregoire Math
 ys\, EPFL
DTSTART:20241017T120000Z
DTEND:20241017T130000Z
UID:TALK220582@talks.cam.ac.uk
CONTACT:Bernardo Zan
DESCRIPTION:The averaged null energy operator (ANEC) is a light-ray integr
 al of the null energy\, which is known to have far-reaching consequences i
 n CFT\, such as the Lorentzian Inversion Formula. It is also closely conne
 cted  to modular Hamiltonian in QFT. In this talk\, I will discuss a new c
 onnection between the ANEC operator and monotonicity of the renormalizatio
 n 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 ap
 pearing in specific ANEC correlators. I will also review a new infinite se
 t 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 wil
 l argue for.
LOCATION:Potter Room (B1.19)
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