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arXiv · 1401.7058

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

G. Krein·G. Menezes·N. F. Svaiter
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Abstract

We analyze the Markovian and non-Markovian stochastic quantization methods for a complex action quantum mechanical model analog to a Maxwell-Chern-Simons eletrodynamics 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 toward 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.

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G. Krein, G. Menezes, N. F. Svaiter. 2014-01-28. Markovian versus non-Markovian stochastic quantization of a complex-action model. https://doi.org/10.1142/s0217751x14500304

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