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Combining the complex Langevin method and the generalized Lefschetz-thimble method

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 نشر من قبل Shinji Shimasaki
 تاريخ النشر 2017
  مجال البحث
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The complex Langevin method and the generalized Lefschetz-thimble method are two closely related approaches to the sign problem, which are both based on complexification of the original dynamical variables. The former can be viewed as a generalization of the stochastic quantization using the Langevin equation, whereas the latter is a deformation of the integration contour using the so-called holomorphic gradient flow. In order to clarify their relationship, we propose a formulation which combines the two methods by applying the former method to the real variables that parametrize the deformed integration contour in the latter method. Thr



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