112 citations · 2.3k across the 78 of their papers we have counts for
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Structure of Lefschetz thimbles in simple fermionic systems
Takuya Kanazawa, Yuya Tanizaki
The Picard-Lefschetz theory offers a promising tool to solve the sign problem in QCD and other field theories with complex path-integral weight. In this paper the Lefschetz-thimble…
Lefschetz-thimble techniques for path integral of zero-dimensional sigma models
Yuya Tanizaki
Zero-dimensional -symmetric sigma models are studied by using Picard--Lefschetz integration method in the presence of small symmetry-breaking perturbations. Due to approximat…
Real-time Feynman path integral with Picard--Lefschetz theory and its applications to quantum tunneling
Yuya Tanizaki, Takayuki Koike
Picard--Lefschetz theory is applied to path integrals of quantum mechanics, in order to compute real-time dynamics directly. After discussing basic properties of real-time path int…
Phase structure of gauge-Higgs unification models at finite temperature
Kouji Kashiwa, Yuya Tanizaki
Five-dimensional gauge-Higgs unification models are studied at finite temperature in the warped extra dimension . In order to investigate the phase struct…
Multi-Regulator Functional Renormalization Group for Many-Fermion Systems
Yuya Tanizaki, Tetsuo Hatsuda
We propose a method of multi-regulator functional renormalization group (MR-FRG) which is a novel formulation of functional renormalization group with multiple infrared regulators.…