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Crossing singularities in the saddle point approximation
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We describe a new phenomenon in the study of the real-time path integral, where complex classical paths hit singularities of the potential and need to be analytically continued beyond the space for which they solve the boundary value problem. We show that the behavior is universal and central to the problem of quantum tunneling. These analytically continued complex classical paths enrich the study of real-time Feynman path integrals.
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Cited by 2 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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