Research Talk 14 - Irreversibility, QNEC, and defects

          @misc{ pirsa_PIRSA:23070035,
            doi = {10.48660/23070035},
            url = {https://pirsa.org/23070035},
            author = {Torroba, Gonzalo},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Research Talk 14 - Irreversibility, QNEC, and defects},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {jul},
            note = {PIRSA:23070035 see, \url{https://pirsa.org}}
          }
          

Abstract

In this talk we will analyze renormalization group flows on d-dimensional planar defects, embedded in a D-dimensional conformal field theory. This general setup includes the case of quantum field theory with no defects ($D=d$), as well as defects of different dimensionality that are of interest in high energy and condensed matter physics. Using methods from quantum information theory, we will establish the irreversibility of renormalization group flows for defect dimensions $d \le 4$, and for all $D$. The main ingredients in the proof are strong subadditivity of the entanglement entropy, the Markov property of the conformal vacuum, and the quantum null energy condition.