Low-energy limit of spin foam theories
Spin foam theory defines a regularized, background-independent, covariant Lorentz path integral for quantum gravity on a discretization of 4D spacetime. The theory assigns transition amplitudes to the LQG states associated with the boundary of the triangulation, providing them with a dynamic. I study the theory's low energy regime and how general relativity emerges from it (or a discrete version of it).
Publications:
Geometry from local flatness in Lorentzian spin foam theories
Nov 2022
Preprint:
2211.04743
Journal:
Phys.Rev.D 107 (2023) 6, 066011
Wick rotation for spin foam quantum gravity
Jun 2021
Preprint:
2106.14672
Journal:
Phys.Rev.D 104 (2021) 12, 126008
Asymptotics of SL(2,C) coherent invariant tensors
Nov 2020
Preprint:
2011.13909
Asymptotics of lowest unitary SL(2,C) invariants on graphs
Jul 2020
Preprint:
2007.09089
Journal:
Phys.Rev.D 102 (2020) 8, 086016
Numerical study of the Lorentzian Engle-Pereira-Rovelli-Livine spin foam amplitude
Mar 2019
Preprint:
1903.12624
Journal:
Phys.Rev.D 100 (2019) 10, 106003
SU(2) graph invariants, Regge actions and polytopes
Aug 2017
Preprint:
1803.00835