Markovian versus non-Markovian stochastic quantization of a complex-action model

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Krein, G. [UNESP]
Menezes, G. [UNESP]
Svaiter, N. F.

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World Scientific Publ Co Pte Ltd


We analyze the Markovian and non-Markovian stochastic quantization methods for a complex action quantum mechanical model analog to Maxwell-Chern-Simons electrodynamics in Weyl gauge. We show through analytical methods convergence to the correct equilibrium state for both methods. Introduction of a memory kernel generates a non-Markovian process which has the effect of slowing down oscillations that arise in the Langevin-time evolution towards equilibrium of complex-action problems. This feature of non-Markovian stochastic quantization might be beneficial in large-scale numerical simulations of complex action field theories on a lattice.



Stochastic quantization, complex actions, topological quantum mechanics

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International Journal Of Modern Physics A. Singapore: World Scientific Publ Co Pte Ltd, v. 29, n. 6, 14 p., 2014.