English

Large Improved Wick Rotation Prescription in Stochastic Quantization of Dissipative Systems

High Energy Physics - Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.hep-th/9403098,
  title  = {Large Improved Wick Rotation Prescription in Stochastic Quantization of Dissipative Systems},
  author = {Naohito Nakazawa and Eisaku Sakane},
  journal= {arXiv preprint arXiv:hep-th/9403098},
  year   = {2007}
}