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19942026
most citedSolar neutrino results in Super-Kamiokande-III

396 citations

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13 papers · 1 filter

hep-lat2025

Path optimization method for the sign problem caused by fermion determinant

Kazuki Hisayoshi, Kouji Kashiwa, Yusuke Namekawa +1

The path optimization method with machine learning is applied to the one-dimensional massive lattice Thirring model, which has the sign problem caused by the fermion determinant. T…

hep-lat2023★ 2 cited

Application of the path optimization method to a discrete spin system

Kouji Kashiwa, Yusuke Namekawa, Akira Ohnishi +1

The path optimization method, which is proposed to control the sign problem in quantum field theories with continuous degrees of freedom by machine learning, is applied to a spin m…

hep-lat2022★ 10 cited

Improving efficiency of the path optimization method for a gauge theory

Yusuke Namekawa, Kouji Kashiwa, Hidefumi Matsuda +2

We investigate efficiency of a gauge-covariant neural network and an approximation of the Jacobian in optimizing the complexified integration path toward evading the sign problem i…

hep-lat2021★ 11 cited

Gauge invariant input to neural network for path optimization method

Yusuke Namekawa, Kouji Kashiwa, Akira Ohnishi +1

We investigate the efficiency of a gauge invariant input to a neural network for the path optimization method. While the path optimization with a completely gauge-fixed link-variab…

hep-lat2021★ 12 cited

Persistent homology analysis for dense QCD effective model with heavy quarks

Kouji Kashiwa, Takehiro Hirakida, Hiroaki Kouno

The isospin chemical potential region is known as the sign-problem free region of quantum chromodynamics (QCD). In this paper, we introduce the isospin chemical potential to the th…

hep-lat2020★ 15 cited

Path optimization for gauge theory with complexified parameters

Kouji Kashiwa, Yuto Mori

In this article, we apply the path optimization method to handle the complexified parameters in the 1+1 dimensional pure gauge theory on the lattice. Complexified parameters…

hep-lat2019

The path optimization for the sign problem of low dimensional QCD

Yuto Mori, Kouji Kashiwa, Akira Ohnishi

The path optimization has been proposed to weaken the sign problem which appears in some field theories such as finite density QCD. In this method, we optimize the integration path…

hep-lat2019

Evading the model sign problem in the PNJL model with repulsive vector-type interaction via path optimization

Akira Ohnishi, Yuto Mori, Kouji Kashiwa

We discuss the sign problem in the Polyakov loop extended Nambu--Jona-Lasinio model with repulsive vector-type interaction by using the path optimization method. In this model, bot…

hep-lat2019★ 22 cited

Path optimization in 0+1 dimensional QCD at finite density

Yuto Mori, Kouji Kashiwa, Akira Ohnishi

We investigate the sign problem in 0+1 dimensional QCD at finite chemical potential by using the path optimization method. The SU(3) link variable is complexified to the SL(3,$\mat…

hep-lat2019★ 22 cited

Application of the path optimization method to the sign problem in an effective model of QCD with a repulsive vector-type interaction

Kouji Kashiwa, Yuto Mori, Akira Ohnishi

The path optimization method is applied to a QCD effective model with the Polyakov loop and the repulsive vector-type interaction at finite temperature and density to circumvent th…

hep-lat2018★ 1 cited

Path optimization method with use of neural network for the sign problem in field theories

Akira Ohnishi, Yuto Mori, Kouji Kashiwa

We investigate the sign problem in field theories by using the path optimization method with use of the neural network. For theories with the sign problem, integral in the complexi…

hep-lat2018★ 4 cited

Persistent homology analysis of deconfinement transition in effective Polyakov-line model

Takehiro Hirakida, Kouji Kashiwa, Junpei Sugano +3

The persistent homology analysis is applied to the effective Polyakov-line model on a rectangular lattice to investigate the confinement-deconfinement nature. The lattice data are…

hep-lat2017★ 16 cited

Lefschetz thimbles in fermionic effective models with repulsive vector-field

Yuto Mori, Kouji Kashiwa, Akira Ohnishi

We discuss two problems in complexified auxiliary fields in fermionic effective models, the auxiliary sign problem associated with the repulsive vector-field and the choice of the…