Instantons from Low Energy String Actions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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revtex 6 pages with 3 figures. Minor numerical correction made

Scientific paper

10.1016/S0370-2693(98)00797-7

We look for instanton solutions in a class of two scalar field gravity models, which includes the low energy string action in four dimensions. In models where the matter field has a potential with a false vacuum, we find that non-singular instantons exist as long as the Dilaton field found in string theory has a potential with a minimum, and provide an example of such an instanton. The class of singular instanton solutions are also examined, and we find that depending on the parameter values, the volume factor of the Euclidean region does not always vanish fast enough at the singularity to make the action finite.

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