38 citations · 312 across the 41 of their papers we have counts for
41 papers
Stochastic quantization with discrete fictitious time
Daisuke Kadoh, Mitsuhiro Kato, Makoto Sakamoto +1
We present a new approach to stochastic quantization à la Parisi-Wu with a discrete fictitious time. The noise average is modified by weights, which results in the equivalence in t…
Numerical analyses of N=2 supersymmetric quantum mechanics with cyclic Leibniz rule on lattice
Daisuke Kadoh, Takeru Kamei, Hiroto So
We study a cyclic Leibniz rule, which provides a systematic approach to lattice supersymmetry, using a numerical method with a transfer matrix. The computation is carried out in N=…
A lattice formulation of N=2 supersymmetric SYK model
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
We construct N=2 supersymmetric SYK model on one-dimensional (euclidean time) lattice. One nilpotent supersymmetry is exactly realized on the lattice in use of the cyclic Leibniz r…
Non-renormalization theorem in a lattice supersymmetric theory and the cyclic Leibniz rule
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
N=4 supersymmetric quantum mechanical model is formulated on the lattice. Two supercharges, among four, are exactly conserved with the help of the cyclic Leibniz rule without spoil…
Non-renormalization theorem and cyclic Leibniz rule in lattice supersymmetry
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
We propose a lattice model of supersymmetric complex quantum mechanics which realizes the non-renormalization theorem on a lattice. In our lattice model, the Leibniz rule in the co…
Cyclic Leibniz rule: a formulation of supersymmetry on lattice
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
For the purpose of constructing supersymmetric(SUSY) theories on lattice, we propose a new type relation on lattice -cyclic Leibniz rule(CLR)- which is slightly different from an o…