Observing Quantum Tunneling in Perturbation Series

TL;DR

This paper proposes a novel method to extract quantum tunneling decay widths from perturbation series, offering a complementary approach to instanton calculus especially in strong coupling regimes.

Contribution

It introduces a new technique to determine false-vacuum decay rates directly from perturbation series, bypassing traditional instanton methods.

Findings

Successfully applied to quantum mechanical examples

Provides a complementary approach to instanton calculus

Effective in strong coupling regions

Abstract

It is well-known that the quantum tunneling makes conventional perturbation series non-Borel summable. We use this fact reversely and attempt to extract the decay width of the false-vacuum from the actual perturbation series of the vacuum energy density (vacuum bubble diagrams). It is confirmed that, at least in quantum mechanical examples, our proposal provides a complementary approach to the conventional instanton calculus in the strong coupling region.