Quantum Bubble Nucleation beyond WKB: Resummation of Vacuum Bubble Diagrams
Hiroshi Suzuki, Hirofumi Yasuta
Abstract
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 ϕ4 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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