Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-06-03
J.Math.Phys.35:5477-5493,1994
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
19 pages of text plus 4 pages of figures, LaTeX (using epsf), UCD-11-94
Scientific paper
10.1063/1.530760
In (2+1)-dimensional general relativity, the path integral for a manifold $M$ can be expressed in terms of a topological invariant, the Ray-Singer torsion of a flat bundle over $M$. For some manifolds, this makes an explicit computation of transition amplitudes possible. In this paper, we evaluate the amplitude for a simple topology-changing process. We show that certain amplitudes for spatial topology change are nonvanishing---in fact, they can be infrared divergent---but that they are infinitely suppressed relative to similar topology-preserving amplitudes.
Carlip Steven
Cosgrove Russell
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