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Real-Time Feynman Path Integral Realization of Instantons
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In Euclidean path integrals, quantum mechanical tunneling amplitudes are associated with instanton configurations. We explain how tunneling amplitudes are encoded in real-time Feynman path integrals. The essential steps are borrowed from Picard-Lefschetz theory and resurgence theory.
Forward citations
Cited by 3 Pith papers
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Which Saddles Contribute? The South-East Rule for Multidimensional Integrals
A geometric South-East rule combined with Borel-plane values and resurgence adjacency identifies contributing critical points for asymptotics of integrals e^{i k f(x)} over R^d without Picard-Lefschetz flows.
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Which Saddles Contribute? The South-East Rule for Multidimensional Integrals
A proposed "South-East rule" reads the directions of edges in a Borel-plane adjacency graph of critical values to decide, without steepest-descent flow computations, which complex and real saddles contribute to multid...
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Path integral analysis of Schr\"odinger-type eigenvalue problems in the complex plane: Establishing the relation between instantons and resonant states
Path integrals on complex contours that terminate in prescribed Stokes sectors yield spectral formulas for resonant energies, explaining why the instanton bounce calculation and real-time decay rates agree.
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