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날짜 2023-11-29 10:00 
일시 Nov. 29th (Wed), 10 AM 
장소 Zoom 
연사 Thomas Hartman (Cornell) 

We welcome everyone to the the High Energy Theory Seminar.

The seminar will be held only over Zoom.

 

 

Speaker: Thomas Hartman (Cornell)

Time: Nov. 29th (Wed), 10 AM
Zoom link: https://kaist.zoom.us/j/89345207778?pwd=UVpXaXVJR08zQmJUL2diMFpJaGVZQT09

Title: "Averaged null energy and the renormalization group"
Abstract: The averaged null energy operator is a light-ray integral of the null energy. This operator is known to be closely tied to causality in AdS/CFT, to deformations of the modular Hamiltonian in quantum field theory, and to the Lorentzian inversion formula in CFT. I will discuss a new connection between averaged null energy and the monotonicity of the renormalization group, and use the averaged null energy condition (ANEC) to derive the c-theorem in two dimensions and the a-theorem in four dimensions. The derivation is based on contact terms that appear in correlation functions of the light-ray operator. Combined with previous results, this also gives a new derivation of the c- and a-theorems from the monotonicity of relative entropy, and hints at a more general role for Lorentzian inversion and light-ray operators in non-conformal QFTs.
 
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