Attributing sense to some integrals in Regge calculus

Some Iterated Integrals in the Fractional Calculus

First-order Regge Calculus

A rst order form of Regge calculus is de ned in the spirit of Palatini's action for general relativity. The extra independent variables are the interior dihedral angles of a simplex, with conjugate variables the areas of the triangles. There is a discussion of the extent to which these areas can be used to parameterise the space of edge lengths of a simplex. hep-th/9404124 Regge's equations of ...

Recent Progress in Regge Calculus

While there has been some advance in the use of Regge calculus as a tool in numerical relativity, the main progress in Regge calculus recently has been in quantum gravity. After a brief discussion of this progress, attention is focussed on two particular, related aspects. Firstly, the possible definitions of diffeomorphisms or gauge transformations in Regge calculus are examined and examples ar...

Z2-Regge versus Standard Regge Calculus in two dimensions

We consider two versions of quantum Regge calculus: the standard Regge calculus where the quadratic link lengths of the simplicial manifold vary continuously and the Z2 Regge model where they are restricted to two possible values. The goal is to determine whether the computationally more easily accessible Z2 model still retains the universal characteristics of standard Regge theory in two dimen...

Constraints on area variables in Regge calculus

We describe a general method of obtaining the constraints between area variables in one approach to area Regge calculus, and illustrate it with a simple example. The simplicial complex is the simplest tessellation of the 4-sphere. The number of independent constraints on the variations of the triangle areas is shown to be equal to the difference between the numbers of triangles and edges. A gen...