Double-periodic wormholes in theories with global symmetries

Mathematics – Logic

Scientific paper

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Scientific paper

We examine the quantum theory of a complex scalar field with global U(1) symmetry minimally coupled to gravity. We find numerically that there exists a double-periodic wormhole solution in addition to a single-periodic one if a potential has a local maximum at a finite value of the scalar field. The double-periodic solution which connects two universes characterized by different cosmological constants is inevitable in the inflationary universe scenario.

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