Quantum Bubble Nucleation beyond WKB: Resummation of Vacuum Bubble Diagrams

Details Quantum Bubble Nucleation beyond WKB: Resummation of Vacuum Bubble Diagrams Quantum Bubble Nucleation beyond WKB: Resummation of Vacuum Bubble Diagrams

1997-04-14

arxiv.org/abs/hep-th/9704105v2

Phys.Rev. D57 (1998) 2500-2506

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 5 figures, PHYZZX

Scientific paper

10.1103/PhysRevD.57.2500

On the basis of Borel resummation, we propose a systematical improvement of bounce calculus of quantum bubble nucleation rate. We study a metastable super-renormalizable field theory, $D$ dimensional O(N) symmetric $\phi^4$ model ($D<4$) with an attractive interaction. The validity of our proposal is tested in D=1 (quantum mechanics) by using the perturbation series of ground state energy to high orders. We also present a result in D=2, based on an explicit calculation of vacuum bubble diagrams to five loop orders.

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