Abstract

In this talk we will study the irreversiblity of the RG flow using Quantum Information techniques. We first present an analysis of infinitesimal null deformations for the entanglement entropy, which leads to a major simplification of the proof of the C, F and A-theorems in quantum field theory. Next, extend this proof in order to establish the irreversibility of renormalization group flows on planar d-dimensional defects, embedded in D-dimensional conformal field theories. This proof completes and unifies all known defect irreversibility theorems for defect dimensions d≤ 4. The F-theorem on defects (d= 3) is a new result using information-theoretic methods. For d≥ 4 we also establish the monotonicity of the relative entropy coefficient proportional to R d− 4.  Finally, we analize how to extend this formalism to QFTs living in fixed AdS backgrounds.