https://doi.org/10.1140/epjp/i2012-12101-4
Regular Article
de Sitter gravity from lattice gauge theory
1
Department of Physics, Syracuse University, 13244, Syracuse, NY, USA
2
Department of Physics, Brown University, 02912, Providence, RI, USA
3
Department of Physics, University of Southern Denmark, 7Campusvej 55, DK-5230, Odense M, Denmark
* e-mail: smc@physics.syr.edu
Received:
11
July
2012
Accepted:
27
July
2012
Published online:
12
September
2012
We investigate a lattice model for Euclidean quantum gravity based on discretization of the Palatini formulation of General Relativity. Using Monte Carlo simulation we show that while a naive approach fails to lead to a vacuum state consistent with the emergence of classical spacetime, this problem may be evaded if the lattice action is supplemented by an appropriate counter term. In this new model we find regions of the parameter space which admit a ground state which can be interpreted as (Euclidean) de Sitter space.
© Società Italiana di Fisica and Springer, 2012