PIRSA:10110079 Scientific Series Condensed Matter

DOI10.48660/10110079

Series: Quantum Matter

Shang, Y. (2010). 1-loop diagram in AdS space and the random disorder problem. Perimeter Institute. https://pirsa.org/10110079

Shang, Yanwen. 1-loop diagram in AdS space and the random disorder problem. Perimeter Institute, Nov. 26, 2010, https://pirsa.org/10110079 

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

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.

Resources

Next talk

Related Talks