Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-12-28
Phys.Lett. B484 (2000) 160-166
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LaTeX, 10 pages
Scientific paper
10.1016/S0370-2693(00)00617-1
The simplest (3+1)D Regge calculus model (with three-dimensional discrete space and continuous time) is considered which describes evolution of the simplest closed two-tetrahedron piecewise flat manifold in the continuous time. The measure in the path integral which describes canonical quantisation of the model in terms of area bivectors and connections as independent variables is found. It is shown that selfdual-antiselfdual splitting of the variables simplifies the integral although does not admit complete separation of (anti-)selfdual sector.
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