160 citations · 430 across the 30 of their papers we have counts for
14 papers · 1 filter
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…
Hybrid Monte Carlo on Lefschetz Thimbles -- A study of the residual sign problem
H. Fujii, D. Honda, M. Kato +3
We consider a hybrid Monte Carlo algorithm which is applicable to lattice theories defined on Lefschetz thimbles. In the algorithm, any point (field configuration) on a thimble is…
A criterion for lattice supersymmetry: cyclic Leibniz rule
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
It is old folklore that the violation of Leibniz rule on a lattice is an obstruction for constructing a lattice supersymmetric model. While it is still true for full supersymmetry,…
Leibniz rule, locality and supersymmetry on lattice
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
In a finite volume system, we prove a no-go theorem on a Leibniz rule with a care of locality argument on latttice. The new possibility on the Leibniz rule solutions on lattice is…
No-Go Theorem of Leibniz Rule and Supersymmetry on the Lattice
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
An obstacle to realize supersymmetry on a lattice is the breakdown of Leibniz rule. We give a proof of a no-go theorem that it is impossible to construct a lattice field theory in…
Taming the Leibniz Rule on the Lattice
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
We study a product rule and a difference operator equipped with Leibniz rule in a general framework of lattice field theory. It is shown that the difference operator can be determi…
Leibniz rule and exact supersymmetry on lattice: a case of supersymmetrical quantum mechanics
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
We propose a new formulation of lattice theory. It is given by a matrix form and suitable for satisfying Leibniz rule on lattice. The theory may be interpreted as a multi-flavor sy…
Genuine Symmetry of Staggered Fermion
Katsumi Itoh, Mitsuhiro Kato, Michika Murata +2
We present a new formulation of the staggered fermion on the D-dimensional lattice based on the SO(2D) Clifford algebra, which is naturally present in the action. The action of the…
Novel Approach to Super Yang-Mills Theory on Lattice - Exact fermionic symmetry and "Ichimatsu" pattern -
K. Itoh, M. Kato, H. Sawanaka +2
We present a lattice theory with an exact fermionic symmetry, which mixes the link and the fermionic variables. The staggered fermionic variables may be reconstructed into a Majora…
Fermionic Symmetry in Ichimatsu-Decomposed Lattice Models
K. Itoh, M. Kato, H. Sawanaka +2
We present the lattice models with exact fermionic symmetries relating fermions and link variables. The plaquettes are distributed in an Ichimatsu pattern (chequered). We explain t…
Vacuum Structure of the Ichimatsu-Decomposed Lattice Models
K. Itoh, M. Kato, M. Murata +2
We proposed an `Ichimatsu'-decomposed lattice gauge theory with fermionic symmetries. The vacuum structures of the gauge sector with two coupling constants () are investig…
Towards the Super Yang-Mills Theory on the Lattice
Katsumi Itoh, Mitsuhiro Kato, Hideyuki Sawanaka +2
We present an entirely new approach towards a realization of the supersymmetric Yang-Mills theory on the lattice. The action consists of the staggered fermion and the plaquette var…