First order Regge calculus

Abstract

A first order form of Regge calculus is defined 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.

8 pages. Revised: text improved for clarity from p5

References in corpus (2)

• Semi-Classical Limits of Simplicial Quantum Gravity
• The Construction of Sorkin Triangulations

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