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arXiv · 1405.5074

Effective action for a free scalar field in the presence of spacetime foam

A. A. Kirillov·E. P. Savelova
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Abstract

We model spacetime foam by a gas of virtual wormholes. For a free scalar field we derive the effective Lagrangian which accounts for the interaction with spacetime foam and contains two additional non-local terms. One term describes the scattering of scalar particles on virtual wormholes and explicitly reproduces the Pauli-Villars regularization procedure. The second term describes the back reaction of particles on the number density of wormholes and introduces a self-interaction between particles.

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A. A. Kirillov, E. P. Savelova. 2014-05-20. Effective action for a free scalar field in the presence of spacetime foam. https://doi.org/10.1007/s10714-015-1941-1

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