Stochastic quantization for complex actions

DOI10.1063/1.2996276zbMATH Open1152.81559arXiv0807.4738OpenAlexW2074238524MaRDI QIDQ5505065

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Publication date: 23 January 2009

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Abstract: We use the stochastic quantization method to study systems with complex valued path integral weights. We assume a Langevin equation with a memory kernel and Einstein's relations with colored noise. The equilibrium solution of this non-Markovian Langevin equation is analyzed. We show that for a large class of elliptic non-Hermitian operators acting on scalar functions on Euclidean space, which define different models in quantum field theory, converges to an equilibrium state in the asymptotic limit of the Markov parameter. Moreover, as we expected, we obtain the Schwinger functions of the theory.

Full work available at URL: https://arxiv.org/abs/0807.4738

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