112 citations · 2.3k across the 78 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…
Hamilton dynamics for the Lefschetz thimble integration akin to the complex Langevin method
Kenji Fukushima, Yuya Tanizaki
The Lefschetz thimble method, i.e., the integration along the steepest descent cycles, is an idea to evade the sign problem by complexifying the theory. We discuss that such steepe…
Evading the sign problem in the mean-field approximation through Lefschetz-thimble path integral
Yuya Tanizaki, Hiromichi Nishimura, Kouji Kashiwa
The fermion sign problem appearing in the mean-field approximation is considered, and the systematic computational scheme of the free energy is devised by using the Lefschetz-thimb…
From quantum to classical dynamics: The relativistic model in the framework of the real-time functional renormalization group
David Mesterházy, Jan H. Stockemer, Yuya Tanizaki
We investigate the transition from unitary to dissipative dynamics in the relativistic vector model with the interaction using the nonperturbative functional…