Phases and Topological Structures of De Sitter Lattice Gravity
Jun, 1987
26 pages
Published in:
- Nucl.Phys.B 299 (1988) 693-718
- Published: 1988
Report number:
- SNS-6/87
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Abstract: (Elsevier)
We attempt a non-perturbative analysis of quantum gravity, by considering a discretization of de Sitter theory on a hypercubic lattice. The strong coupling phase is quite analogous to the usual lattice gauge theories. New phenomena appear in the weak-coupling regime. Maximal-action configurations are found, by solving non-trivial topological constraints due to the choice of periodic boundary conditions. We present also a numerical analysis of such a model which shows up a first order phase transition. Metastable states connected with topological constraints on the lattice are also found and their origin is discussed.- QUANTUM GRAVITY
- FIELD THEORY: DE SITTER
- LATTICE FIELD THEORY: CRITICAL PHENOMENA
- APPROXIMATION: STRONG COUPLING
- STRONG COUPLING: APPROXIMATION
- APPROXIMATION: WEAK COUPLING
- WEAK COUPLING: APPROXIMATION
- CHARGE: TOPOLOGICAL
- NUMERICAL CALCULATIONS: MONTE CARLO
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