arXiv subjects

Hiroshi Yoda

Publications and source records attributed to Hiroshi Yoda.

3 recordsLinked to original sources

arXiv2012

On relationship of gauge transformation with Wigner's little group

Wigner's little group of a massless particle is ISO(2) which contains rotation and two translations. As well-known, eigenvalues of the rotation are helicity. On the other hand, by S. Weinberg et al., it has been shown that two translations generate abelian gauge transformation by acting on polarization vectors. In this paper, we include unphysical modes and show abelian case result can be generalized to the case of non-abelian gauge transformation. By including the unphysical modes, we obtain Nakanishi-Lautrup physical state condition from the requirement of unitarity of the transformation. As a result, non-abelian gauge transformation is realized as the translation of the little group which acts on gauge group. We also obtain similar results for any spacetime dimensions.

hep-th↗

arXiv2012

Classical Dimensional Transmutation and Renormalization in Massive lambda phi^4 Model

Recently, Dvali, Gomez, and Mukhanov have investigated a classical lambda phi^4 model with external source and without mass and they have clarified that there are underlying renormalization group structure, including the phenomenon of the dimensional transmutation, at purely classical level. Especially when the coupling lambda is negative, the classical beta function shows the property of asymptotic freedom as in QCD. In this paper, we investigate the lambda phi^4 model with mass, and clarify the role of the mass. The obtained classical beta function is identical with that of the massless lambda phi^4 model up to the corrections of the ratio of the IR cutoff to UV cutoff, and describes the renormalization flow same as the massless theory. We also found that the dynamically generated scale of massive theory is larger than that of massless theory, which could be due to the screening effect of the mass term.

hep-th↗

arXiv2011

Spinor with Schr\" odinger symmetry and non-relativistic supersymmetry

We construct the $d$ dimensional "half" Schrödinger equation, which is a kind of the root of the Schrödinger equation, from the $d+1$ dimensional free Dirac equation. The solution of the "half" Schrödinger equation also satisfies the usual free Schrödinger equation. We also find that the explicit transformation laws of the Schrödinger and the half Schrödinger fields under the Schrödinger symmetry transformation are derived by starting from the Klein-Gordon equation and the Dirac equation in $d+1$ dimensions. We derive the 3 and 4 dimensional super-Schrödinger algebra from the superconformal algebra in 4 and 5 dimensions. The algebra is realized by introducing two complex scalar and one complex) spinor fields and the explicit transformation properties have been found.

hep-th↗