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Journal of Mathematical Physics : Stochastic quantization for complex actions

By G. Menezes and N. F. Svaiter

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Book Id: WPLBN0002169543
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 9 October 2008

Title: Journal of Mathematical Physics : Stochastic quantization for complex actions  
Author: G. Menezes and N. F. Svaiter
Volume: Issue : October 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Journal of Mathematical Physics Collection
Historic
Publication Date:
Publisher: American Institute of Physics

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And N. F. Svaite, G. M. (n.d.). Journal of Mathematical Physics : Stochastic quantization for complex actions. Retrieved from http://worldlibrary.in/


Description
Description: 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, converge to an equilibrium state in the asymptotic limit of the Markov parameter τ→∞. Moreover, as we expected, we obtain the Schwinger functions of the theory.

 

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