PIRSA:12050033 Scientific Series Quantum Gravity

DOI10.48660/12050033

Series: Quantum Fields and Strings

Lee, S. (2012). Background Independent Holographic Description : From Matrix Field Theory to Quantum Gravity. Perimeter Institute. https://pirsa.org/12050033

Lee, Sung-Sik. Background Independent Holographic Description : From Matrix Field Theory to Quantum Gravity. Perimeter Institute, May. 22, 2012, https://pirsa.org/12050033 

@misc{ pirsa_PIRSA:12050033,
  doi = {10.48660/12050033},
  url = {https://pirsa.org/12050033},
  author = {Lee, Sung-Sik},
  keywords = {Quantum Gravity, Quantum Fields and Strings},
  language = {en},
  title = {Background Independent Holographic Description : From Matrix Field Theory to Quantum Gravity},
  publisher = {Perimeter Institute},
  year = {2012},
  month = {may},
  note = {PIRSA:12050033 see, \url{https://pirsa.org}}
}

Abstract

A local renormalization group procedure is proposed where length scale is changed in spacetime dependent manner. Combining this scheme with an earlier observation that high energy modes in renormalization group play the role of dynamical sources for low energy modes at each scale, we provide a prescription to derive background independent holographic duals for field theories. From a first principle construction, it is shown that the holographic theory dual to a D-dimensional matrix field theory is a (D+1)-dimensional quantum theory of gravity coupled with matter fields of various spins.The (D+1)-dimensional diffeomorphism invariance is a consequence of the freedom to choose different local RG schemes.

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