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

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作者
A. A. Kirillov
E. P. Savelova
机构
[1] Dubna State University,
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Wormholes; Quantum gravity; Effective action;
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摘要
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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