93 citations · 667 across the 57 of their papers we have counts for
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Complex saddle points and the sign problem in complex Langevin simulation
Tomoya Hayata, Yoshimasa Hidaka, Yuya Tanizaki
We show that complex Langevin simulation converges to a wrong result, by relating it to the Lefschetz-thimble path integral, when the path-integral weight has different phases amon…
Lefschetz-thimble analysis of the sign problem in one-site fermion model
Yuya Tanizaki, Yoshimasa Hidaka, Tomoya Hayata
The Lefschetz-thimble approach to path integrals is applied to a one-site model of electrons, i.e., the one-site Hubbard model. Since the one-site Hubbard model shows a non-analyti…
Complex Langevin simulation in condensed matter physics
Arata Yamamoto, Tomoya Hayata
The complex Langevin method is one hopeful candidate to tackle the sign problem. This method is applicable not only to QCD but also to nonrelativistic field theory, such as condens…
Relativistic hydrodynamics from quantum field theory on the basis of the generalized Gibbs ensemble method
Tomoya Hayata, Yoshimasa Hidaka, Masaru Hongo +1
We derive relativistic hydrodynamics from quantum field theories by assuming that the density operator is given by a local Gibbs distribution at initial time. We decompose the ener…