English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We investigate a simple model using the numerical simulation in the complexLangevin equation (CLE) and the analytical approximation with the GaussianAnsatz. We find that the Gaussian Ansatz captures the essential and evenquantitative features of the CLE results quite well including unwanted behaviorin the unstable region where the CLE converges to a wrong answer. The GaussianAnsatz is therefore useful for looking into this convergence problem and wefind that the exact answer in the unstable region is nicely reproduced byanother solution that is naively excluded from the stability condition. Weconsider the Gaussian probability distributions corresponding to multiplesolutions along the Lefschetz thimble to discuss the stability and thelocality. Our results suggest a prescription to improve the convergence of theCLE simulation to the exact answer.

Analytical studies of the complex Langevin equation with a Gaussian Ansatz and multiple solutions in the unstable region