The Regge calculus generalised to independent area tensor variables is considered. The continuous time limit is found and formal Feynman path integral measure corresponding to the canonical quantisation is written out. The quantum measure in the completely discrete theory is found which possesses the property to lead to the Feynman path integral in the continuous time limit whatever coordinate is chosen as time. This measure can be well defined by passing to the integration over imaginary field variables (area tensors). Averaging with the help of this measure gives finite expectation values for areas
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum grav...
The review paper "Discrete Structures in Physics", written in 2000, describes how Regge's discretiza...
This article presents a simplified version of the author’s previous work. We first construct a causa...
AbstractRegge calculus generalised to independent area tensor variables is considered. Continuous ti...
Regge calculus configuration superspace can be embedded into a more general superspace where the len...
Encountered in the literature generalisations of general relativity to independent area variables ar...
A path integral measure for gravity should also preserve the fundamental symmetry of general relativ...
Dynamics of a Regge three-dimensional (3D) manifold in a continuous time is considered. The manifold...
The most essential problems in Regge calculus discretization are the definitions of the partition fu...
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum grav...
Feynman, as well as numerous other famous physicists, has postulated that space-time could be discre...
AbstractWe propose a version of the 2D Regge calculus, in which the areas of all triangles are equal...
We apply the consistent discretization technique to the Regge action for (Euclidean and Lorentzian...
We apply the ``consistent discretization'' technique to the Regge action for (Euclidean and Lorentzi...
This paper generalizes our previous paper on the discrete Schwarzschild type solution in the Regge c...
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum grav...
The review paper "Discrete Structures in Physics", written in 2000, describes how Regge's discretiza...
This article presents a simplified version of the author’s previous work. We first construct a causa...
AbstractRegge calculus generalised to independent area tensor variables is considered. Continuous ti...
Regge calculus configuration superspace can be embedded into a more general superspace where the len...
Encountered in the literature generalisations of general relativity to independent area variables ar...
A path integral measure for gravity should also preserve the fundamental symmetry of general relativ...
Dynamics of a Regge three-dimensional (3D) manifold in a continuous time is considered. The manifold...
The most essential problems in Regge calculus discretization are the definitions of the partition fu...
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum grav...
Feynman, as well as numerous other famous physicists, has postulated that space-time could be discre...
AbstractWe propose a version of the 2D Regge calculus, in which the areas of all triangles are equal...
We apply the consistent discretization technique to the Regge action for (Euclidean and Lorentzian...
We apply the ``consistent discretization'' technique to the Regge action for (Euclidean and Lorentzi...
This paper generalizes our previous paper on the discrete Schwarzschild type solution in the Regge c...
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum grav...
The review paper "Discrete Structures in Physics", written in 2000, describes how Regge's discretiza...
This article presents a simplified version of the author’s previous work. We first construct a causa...