arXiv subjects

Kohzo Nishida

Publications and source records attributed to Kohzo Nishida.

5 recordsLinked to original sources

arXiv2022

Modification of the effective potential of $ϕ^4$ theory using the Boltzmann factor

The need for a cutoff in the Lamb shift calculation suggests that high-energy virtual photons do not interact with the real particles. In this study, we assume that the creation of high-energy virtual particles is suppressed by a Boltzmann factor $e^{-βE}$ and apply this Boltzmann factor to the effective potential of the $ϕ^4$ theory. Consequently, the effective potential is transformed into $V(ϕ) = 1/4!ϕ^4 + β^{-4} \left \{ ϕ^3 K_3(ϕ) -ϕ^2 K_2 (ϕ) \right\}$. $K_n(x)$ is the modified Bessel function of the second kind of order $n$. We demonstrate that the minimum of the effective potential occurs for $ϕ\ne 0$.

physics.gen-ph↗

arXiv2020

Eliminating ultraviolet divergence in quantum field theory through use of the Boltzmann factor

The need for a cutoff in the Lamb shift calculation suggests that high-energy virtual photons do not interact with real particles. In this paper, we assume that the creation of high-energy virtual particles is suppressed by a Boltzmann factor. As a result, the Coulomb potential is modified, and the zero-point energy density and one-particle-irreducible self-energy of the scalar field are finite.

physics.gen-ph↗

arXiv2019

Modified Coulomb potential with virtual photons following a canonical distribution

The need for a cutoff in the Lamb shift calculation suggests that high-energy virtual photons do not interact with real particles. In this paper, we assume that the creation of virtual photons follows a canonical distribution. As a result, the Coulomb potential is modified to $V(r)=- ze^2\arctan (m_c r)/(2π^2 r)$, and the zero-point energy density of the electromagnetic field becomes finite.

physics.gen-ph↗

arXiv2017

Phenomenological formula for CKM matrix and its physical interpretation

We propose a phenomenological formula relating the Cabibbo--Kobayashi--Masukawa matrix $V_{CKM}$ and quark masses in the form $(\sqrt{m_d} \, \sqrt{m_s} \, \sqrt{m_b}) \propto (\sqrt{m_u} \, \sqrt{m_c} \, \sqrt{m_t})V_{CKM}$. The results of the proposed formula are in agreement with experimental data. Under the constraint of the formula, we show that the invariant amplitude of the charged current weak interactions is maximized.

hep-ph↗

arXiv2002

Higgs Field as Weak Boson in five Dimensions

We propose a five-dimensional standard model which regards the Higgs field as a weak boson associated with the fifth dimension. The kinetic term of the Higgs field is obtained from the fifth components of field strengths defined in five dimension. The coupling constant of the fermion fields and the Higgs field is only the weak coupling constant. However, since the vacuum expectation value depends on the fifth coordinate, we can explain the various mass spectrum of elementary particles.

hep-th↗