31 citations · 44 across the 6 of their papers we have counts for
6 papers
Singularity Free Direct Calculation of Spontaneous Mass Generation
Ken-Ichi Aoki, Tamao Kobayashi, Shin-Ichiro Kumamoto +2
We propose a new iterative method to directly calculate the spontaneous mass generation. It is regarded as a new regularization method resembling the finite volume calculation whic…
Logical Reasoning for Revealing the Critical Temperature through Deep Learning of Configuration Ensemble of Statistical Systems
Ken-Ichi Aoki, Tatsuhiro Fujita, Tamao Kobayashi
Recently, there have been many works on the deep learning of statistical ensembles to determine the critical temperature of a possible phase transition. We analyze the detailed str…
Restricted Boltzmann Machines for the Long Range Ising Models
Ken-Ichi Aoki, Tamao Kobayashi
We set up Restricted Boltzmann Machines (RBM) to reproduce the Long Range Ising (LRI) models of the Ohmic type in one dimension. The RBM parameters are tuned by using the standard…
Phase transition of the dissipative double-well quantum mechanics
Ken-Ichi Aoki, Tamao Kobayashi
We investigate the critical dissipation of the double-well quantum mechanics. We adopt two-state approximation to define effective Ising models and apply the block decimation renor…
Domain Wall Renormalization Group Analysis of 2-dimensional Ising Model
Ken-Ichi Aoki, Tamao Kobayashi, Hiroshi Tomita
Using a recently proposed new renormalization group method (tensor renormalization group), we analyze the Ising model on the 2-dimensional square lattice. For the lowest order appr…
Finite-Range Scaling Method to Analyze Systems with Infinite-Range Interactions
Ken-Ichi Aoki, Tamao Kobayashi, Hiroshi Tomita
We propose a new practical method for evaluating the critical coupling constant in one-dimensional long-range interacting systems. We assume a finite-range scaling and define its e…