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• W2885202621 abstract "As is well known the Complex Langevin (CL) method sometimes fails to converge or converges to the wrong limit. We identified one reason for this long ago: insufficient decay of the probability density either near infinity or near poles of the drift, leading to boundary terms that spoil the formal argument for correctness. To gain a deeper understanding of this phenomenon, we analyze the emergence of such boundary terms thoroughly in a simple model, where analytic results can be compared with numerics. We also show how some simple modification stabilizes the CL process in such a way that it can produce results agreeing with direct integration. Besides explicitly demonstrating the connection between boundary terms and correct convergence our analysis also suggests a correctness criterion which could be applied in realistic lattice simulations." @default.
• W2885202621 created "2018-08-22" @default.
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• W2885202621 date "2019-01-24" @default.
• W2885202621 modified "2023-10-14" @default.
• W2885202621 title "Complex Langevin and boundary terms" @default.
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• W2885202621 doi "https://doi.org/10.1103/physrevd.99.014512" @default.
• W2885202621 hasPublicationYear "2019" @default.
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