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Large Improved Wick Rotation Prescription in Stochastic Quantization of Dissipative Systems

Naohito Nakazawa·Eisaku Sakane
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Abstract

We apply Stochastic Quantization Method to dissipative systems at finite temperature. Especially, the relation of SQM to the Caldeira-Leggett model is clarified ensuring that the naive Wick rotation is improved in this context. We show that the Langevin system obtained by the \lq\lq Improved Wick Rotation " prescription is equivalent to an ideal friction case ( low temperature limit) in the C-L model. We derive, based on our approach, a general formula on the fluctuation-dissipation theorem for higher derivative frictions.

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Naohito Nakazawa, Eisaku Sakane. 1994-03-17. Large Improved Wick Rotation Prescription in Stochastic Quantization of Dissipative Systems. https://arxiv.org/abs/hep-th/9403098

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