4 citations · 9 across the 6 of their papers we have counts for
6 papers
Consideration on the relationship of theoretical ultraviolet cut-off energy with experimental data
Kimichika Fukushima, Hikaru Sato
We formulated a field theory in space-time elements, which are obtained by dividing the space-time continuum into arbitrary-shaped space-time elements, such as hyper-octahedra (ort…
Derivation of the cutoff length from the quantum quadratic enhancement of a mass in vacuum energy constant Lambda
Kimichika Fukushima, Hikaru Sato
Ultraviolet self-interaction energies in field theory sometimes contain meaningful physical quantities. The self-energies in such as classical electrodynamics are usually subtracte…
Toward construction of a consistent field theory with Poincare covariance in terms of step-function-type basis functions showing confinement/deconfinement, mass-gap and Regge trajectory for non-pure/pure non-Abelian gauge fields
Kimichika Fukushima, Hikaru Sato
This article is a review by the authors concerning the construction of a Poincar covariant (owing to spacetime continuum) field-theoretic formalism in terms of ste…
Proof that the real part of all non-trivial zeros of Riemann zeta function is 1/2
Kimichika Fukushima
This article proves the Riemann hypothesis, which states that all non-trivial zeros of the zeta function have a real part equal to 1/2. We inspect in detail the integral form of th…
Analytic eigenenergies of the Dirac equation with finite degrees of freedom under a confining linear potential using basis functions localized in spacetime
Kimichika Fukushima, Hikaru Sato
Considering the propagation of fields in the spacetime continuum and the well-defined features of fields with finite degrees of freedom, the wave function is expanded in terms of a…
Example of an explicit function for confining classical Yang-Mills fields with quantum fluctuations in the path integral scheme
Kimichika Fukushima, Hikaru Sato
This article reports an explicit function form for confining classical Yang-Mills vector potentials and quantum fluctuations around the classical field. The classical vector potent…