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}} }
Okinawa Institute of Science and Technology Graduate University
Collection
Talk Type
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.