PIRSA:11110111

Parity and the Immirzi Parameter in Lorentzian Spinfoams

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}}
          }

Yasha Neiman Okinawa Institute of Science and Technology Graduate University

Talk numberPIRSA:11110111
DOI10.48660/11110111
Collection
Talk Type Scientific Series
Subject

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.