14 citations · 38 across the 10 of their papers we have counts for
10 papers
Runge-Lenz Vector as a 3d Projection of SO(4) Moment Map in Phase Space
Hitoshi Ikemori, Shinsaku Kitakado, Yoshimitsu Matsui +1
We show, using the methods of geometric algebra, that Runge-Lenz vector in the Kepler problem is a 3-dimensional projection of SO(4) moment map that acts on the phase space of 4-di…
Equivariance on Discrete Space and Yang-Mills-Higgs Model
Hitoshi Ikemori, Shinsaku Kitakado, Yoshimitsu Matsui +2
We introduce the basic equivariant quantity in the gauge theory on the noncommutative descrete space, which plays an important role for the equivariant dimensional redu…
Vortices as Instantons in Noncommutative Discrete Space: Use of Coordinates
Hideharu Otsu, Toshiro Sato, Hitoshi Ikemori +1
We show that vortices of Yang-Mills-Higgs model in space can be regarded as instantons of Yang-Mills model in space. For this, we construct the noncommu…
Non Abelian Vortices as Instantons on Noncommutative Discrete Space
Hitoshi Ikemori, Shinsaku Kitakado, Hideharu Otsu +1
There seems to be close relationship between the moduli space of vortices and the moduli space of instantons, which is not yet clearly understood from a standpoint of the field the…
Solitons of Sigma Model on Noncommutative Space as Solitons of Electron System
H. Otsu, T. Sato, H. Ikemori +1
We study the relationship of soliton solutions for electron system with those of the sigma model on the noncommutative space, working directly in the operator formalism. We find th…
Lost equivalence of nonlinear sigma and models on noncommutative space
H. Otsu, T. Sato, H. Ikemori +1
We show that the equivalence of nonlinear sigma and models which is valid on the commutative space is broken on the noncommutative space. This conclusion is arrived at thr…