We apply the "consistent discretization" technique to the Regge action for (Euclidean and Lorentzian) general relativity in arbitrary number of dimensions. The result is a well-defined canonical theory that is free of constraints and where the dynamics is implemented as a canonical transformation. In the Lorentzian case, the framework appears to be naturally free of the "spikes" that plague traditional formulations. It also provides a well-defined recipe for determining the integration measure for quantum Regge calculus. © World Scientific Publishing Company.
Publication Source (Journal or Book title)
International Journal of Modern Physics D
Gambini, R., & Pullin, J. (2006). Consistent discretization and canonical, classical and quantum regge calculus. International Journal of Modern Physics D, 15 (10), 1699-1706. https://doi.org/10.1142/S0218271806009042