Abstract
The large wormhole problem in Coleman's theory of the cosmological constant is presented in the framework of constrained wormholes. We use semi-classical methods, similar to those used to study constrained instantons in quantum field theory. A scalar field theory serves as a toy model to analyze the problems associated with large constrained instantons. In particular, these large instantons are found to suffer from large quantum fluctuations. In gravity we find the same situation: large qu around large wormholes. In both cases we expect that these large fluctuations are a signal that large constrained solutions are not important in the path integral. Thus, we argue that only small wormholes are important in Coleman's theory.
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