Details

Autor(en) / Beteiligte

• Casini, Horacio
• Landea, Ignacio Salazar
• Torroba, Gonzalo

Titel

Irreversibility, QNEC, and defects

Ist Teil von

• The journal of high energy physics, 2023-07, Vol.2023 (7), p.4-26, Article 4

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2023

Link zum Volltext

Quelle

EZB Free E-Journals

Beschreibungen/Notizen

• A bstract 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, we study the quantum null energy condition (QNEC) on the light-cone for a CFT. Finally, we combine these tools 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 . The geometric construction connects the proof of irreversibility with and without defects through the QNEC inequality in the bulk, and makes contact with the proof of strong subadditivity of holographic entropy taking into account quantum corrections.