Wormholes in Euclidean Quantum Gravity.

Mathematics – Logic

Scientific paper

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Scientific paper

I present a summary of the developments in wormhole physics. I then investigate the (Euclidean time) decay of axion charge that occurs in a 3-sphere of constant volume when there is a small charge violating operator perturbing the Hamiltonian. I demonstrate that in the limit of large Euclidean time T, axion charge decays like CT^ {-1}, where C depends only logarithmically on the coefficient of the charge-violating operator. I apply this result to axionic wormholes, and argue that small wormholes will destabilize large wormholes because of this charge decay. In another model, I demonstrate the existence of wormhole solutions with topology S ^1 times S ^2 times R. I interpret these wormholes in terms of topological charge violation on flat R^4.

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