PIRSA:11110111 Scientific Series Quantum Gravity

DOI10.48660/11110111

Series: Quantum Gravity

Neiman, Y. (2011). Parity and the Immirzi Parameter in Lorentzian Spinfoams. Perimeter Institute. https://pirsa.org/11110111

Neiman, Yasha. Parity and the Immirzi Parameter in Lorentzian Spinfoams. Perimeter Institute, Nov. 02, 2011, https://pirsa.org/11110111 

@misc{ pirsa_PIRSA:11110111,
  doi = {10.48660/11110111},
  url = {https://pirsa.org/11110111},
  author = {Neiman, Yasha},
  keywords = {Quantum Gravity},
  language = {en},
  title = {Parity and the Immirzi Parameter in Lorentzian Spinfoams},
  publisher = {Perimeter Institute},
  year = {2011},
  month = {nov},
  note = {PIRSA:11110111 see, \url{https://pirsa.org}}
}

Abstract

The parity invariance of spinfoam gravity is an open question. Naively, parity breaking should reside in the sign of the Immirzi parameter. I show that the new Lorentzian vertex formula is in fact independent of this sign, suggesting that the dynamics is parity-invariant. The situation with boundary states and operators is more complicated. I discuss parity-related pieces of the transition amplitude and graviton propagator in the large-spin 4-simplex limit. Numerical results indicate patterns similar to those in the Euclidean case. In particular, parity-related components of the graviton propagator differ by a phase. I discuss possible resolutions of this issue.

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