1-loop diagram in AdS space and the random disorder problem

          @misc{ scivideos_PIRSA:10110079,
            doi = {10.48660/10110079},
            url = {https://pirsa.org/10110079},
            author = {Shang, Yanwen},
            keywords = {Quantum Matter},
            language = {en},
            title = {1-loop diagram in AdS space and the random disorder problem},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2010},
            month = {nov},
            note = {PIRSA:10110079 see, \url{https://scivideos.org/index.php/pirsa/10110079}}
          }
          

Abstract

AdS/CFT has proven itself a powerful tool in extending our understanding of strongly coupled quantum theories. While studies of AdS/CFT have predominantly focused on tree level calculations, there has been growing interest in the loop effect recently. We studied the 1-loop correction to the gauge boundary-to-boundary correlator due to its coupling to a complex scalar field. In this talk, I would outline our main results, explain the Cutkosky rule in AdS space, and discuss an extra divergence we found in both real and imaginary part of the loop integral. I would then combine our analysis with the replica trick to demonstrate a possible application where one attempts to calculate the DC conductivity in a condensed matter system with random disorder and discuss the limitation and difficulties of our method in its current form.