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We discuss new possible tunneling processes in the presence of gravity. Weformulate quantum tunneling using the Wheeler-deWitt canonical quantization andthe WKB approximation. The distinctive feature of our formulation is that itaccommodates the coexistence of Euclidean and Lorentzian evolution. It opens upa new possibility of quantum tunneling; e.g. a bubble wall itself tunnels thepotential barrier pulling the field nearby, where the wall region experiencesthe Euclidean evolution while the other regions experience the Lorentzianevolution simultaneously. We execute numerical analysis and find that such aprocess can have a much higher tunneling rate than that of the Coleman-DeLuccia bounce. We also find that the new tunneling processes exist even in thedecoupling regime of gravity and affect low energy phenomenology.

Polychronic Tunneling: New Tunneling Processes Experiencing Euclidean and Lorentzian Evolution Simultaneously