Fubini instantons in curved space

Details Fubini instantons in curved space Fubini instantons in curved space

2012-04-06

arxiv.org/abs/1204.1521v1

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 9 figures

Scientific paper

We study Fubini instantons of a self-gravitating scalar field. The Fubini instanton describes the decay of a vacuum state under tunneling instead of rolling in the presence of a tachyonic potential. The tunneling occurs from the maximum of the potential, which is a vacuum state, to any arbitrary state, belonging to the tunneling without any barrier. We consider two different types of the tachyonic potential. One has only a quartic term. The other has both the quartic and quadratic terms. We show that, there exist several kinds of new O(4)-symmetric Fubini instanton solution, which are possible only if gravity is taken into account. One of them can be interpreted as the pair creation of an instanton in the de Sitter background.

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