PIRSA:11110111

Parity and the Immirzi Parameter in Lorentzian Spinfoams

APA

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

MLA

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

BibTex

          @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

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.