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
AbstractWe propose a version of the 2D Regge calculus, in which the areas of all triangles are equal...
In a gravitational context, canonical methods offer an intuitive picture of the dynamics and simplif...
AbstractRegge calculus is considered as a particular case of the more general system where the linkl...
We apply the ``consistent discretization'' technique to the Regge action for (Euclidean and Lorentzi...
A general canonical formalism for discrete systems is developed which can handle varying phase space...
This paper covers some developments in canonical quantum gravity that occurred since ICGC-2000, emph...
Consistent discretizations: the basic idea There has long been the hope that lattice methods could b...
We consider the notion of improved and perfect actions within Regge calculus. These actions are cons...
We will examine the issue of diffeomorphism symmetry in simplicial models of (quantum) gravity, in p...
Dynamics of a Regge three-dimensional (3D) manifold in a continuous time is considered. The manifold...
Starting from an action for discretized gravity, we derive a canonical formalism that exactly reprod...
A path integral measure for gravity should also preserve the fundamental symmetry of general relativ...
In Regge calculus space time is usually approximated by a triangulation with flat simplices. We pres...
It has long been recognized that lattice gauge theory formulations, when applied to general relativi...
We apply the consistent discretization approach to general relativity leaving the spatial slices c...
AbstractWe propose a version of the 2D Regge calculus, in which the areas of all triangles are equal...
In a gravitational context, canonical methods offer an intuitive picture of the dynamics and simplif...
AbstractRegge calculus is considered as a particular case of the more general system where the linkl...
We apply the ``consistent discretization'' technique to the Regge action for (Euclidean and Lorentzi...
A general canonical formalism for discrete systems is developed which can handle varying phase space...
This paper covers some developments in canonical quantum gravity that occurred since ICGC-2000, emph...
Consistent discretizations: the basic idea There has long been the hope that lattice methods could b...
We consider the notion of improved and perfect actions within Regge calculus. These actions are cons...
We will examine the issue of diffeomorphism symmetry in simplicial models of (quantum) gravity, in p...
Dynamics of a Regge three-dimensional (3D) manifold in a continuous time is considered. The manifold...
Starting from an action for discretized gravity, we derive a canonical formalism that exactly reprod...
A path integral measure for gravity should also preserve the fundamental symmetry of general relativ...
In Regge calculus space time is usually approximated by a triangulation with flat simplices. We pres...
It has long been recognized that lattice gauge theory formulations, when applied to general relativi...
We apply the consistent discretization approach to general relativity leaving the spatial slices c...
AbstractWe propose a version of the 2D Regge calculus, in which the areas of all triangles are equal...
In a gravitational context, canonical methods offer an intuitive picture of the dynamics and simplif...
AbstractRegge calculus is considered as a particular case of the more general system where the linkl...