A onedimensional action for simplicial gravity in three dimensions Speaker(s): Wolfgang Wieland
Abstract: Loop quantum gravity has a spinorial representation. Spinors simplify the symplectic structure of the theory, but can they also teach us something about the dynamics? We study this question in three dimensions, and derive the Ponzano–Regge model from a spinorial action. Our construction starts from the firstorder Palatini formalism, and gives the discretised action in the spinorial representation. A onedimensional refinement limit brings us back to a continuum theory. The threedimensional action turns into a line integral over the edges of the discretisation. We compute the gaugefixed path integral for a generic simplicial discretisation. The resulting amplitudes reproduce the Ponzano–Regge model.
Date: 06/03/2014  2:30 pm
Series: Quantum Gravity
