PIRSA:23030085 Scientific Series Quantum Gravity

DOI10.48660/23030085

Series: Quantum Gravity

Han, M. (2023). 4-dimensional covariant Loop Quantum Gravity and complex Chern-Simons theory. Perimeter Institute. https://pirsa.org/23030085

Han, Muxin. 4-dimensional covariant Loop Quantum Gravity and complex Chern-Simons theory. Perimeter Institute, Mar. 02, 2023, https://pirsa.org/23030085 

@misc{ pirsa_PIRSA:23030085,
  doi = {10.48660/23030085},
  url = {https://pirsa.org/23030085},
  author = {Han, Muxin},
  keywords = {Quantum Gravity},
  language = {en},
  title = {4-dimensional covariant Loop Quantum Gravity and complex Chern-Simons theory},
  publisher = {Perimeter Institute},
  year = {2023},
  month = {mar},
  note = {PIRSA:23030085 see, \url{https://pirsa.org}}
}

Abstract

We present an improved formulation of 4-dimensional Lorentzian spinfoam quantum gravity with cosmological constant. The construction of spinfoam amplitudes uses the state-integral model of PSL(2,C) Chern-Simons theory and the implementation of simplicity constraint. The formulation has 2 key features: (1) spinfoam amplitudes are all finite, and (2) With suitable boundary data, the semiclassical asymptotics of the vertex amplitude has two oscillatory terms, with phase plus or minus the 4-dimensional Lorentzian Regge action with cosmological constant for the constant curvature 4-simplex.

Zoom link:  https://pitp.zoom.us/j/92219187641?pwd=RUsvcWo2SHFmVTE3NmxDMUZlVEV2UT09

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