13 citations · 13 across the 3 of their papers we have counts for
4 papers
All-mode approach for general tensor renormalization group method
Katsumasa Nakayama, Shinji Takeda
We apply the stochastic all-mode technique to general coarse-graining schemes of the tensor renormalization group (TRG) approach. The technique possesses a notable characteristic o…
Initial tensor construction for the tensor renormalization group
Katsumasa Nakayama, Manuel Schneider
We propose a method to construct the initial tensor representation of partition functions and observables for the tensor renormalization group (TRG). The TRG is a numerical calcula…
Application of the projective truncation and randomized singular value decomposition to a higher dimension
Katsumasa Nakayama
We study the tensor renormalization group (TRG) in the dimension larger than two as the Higher-order TRG (HOTRG) with the randomized SVD method. The randomized SVD and the detailed…
Atiyah-Patodi-Singer index on a lattice
Hidenori Fukaya, Naoki Kawai, Yoshiyuki Matsuki +4
We propose a non-perturbative formulation of the Atiyah-Patodi-Singer(APS) index in lattice gauge theory, in which the index is given by the invariant of the domain-wall Dirac…