A Schwinger term in q-deformed su(2) algebra

An extra term generally appears in the q-deformed $su(2)$ algebra for the deformation parameter $q = \exp{ 2 \pi i\theta}$, if one combines the Biedenharn-Macfarlane construction of q-deformed $su(2)$, which is a generalization of Schwinger's construction of conventional $su(2)$, with the representation of the q-deformed oscillator algebra which is manifestly free of negative norm. This extra term introduced by the requirement of positive norm is analogous to the Schwinger term in current algebra. Implications of this extra term on the Bloch electron problem analyzed by Wiegmann and Zabrodin are briefly discussed.Comment: 9 pages. A couple of clarifying comments have been added. This modified version has been published in Mod. Phys. Lett.

Accelerated Quark and Holography for Confining Gauge theory

We show a constantly accelerated quark as a string solution of the Nambu-Goto action, which is embedded in the bulk background dual to the $\cal{N}$ $=2$ supersymmetric confining Yang-Mills theory. The induced metric of the world sheet for this string solution has an event horizon specified by the fifth coordinate. By an extended Rindler transformation proposed by Xiao, we move to the comoving frame of the accelerated quark-string. Then we find that this horizon is transferred to the event horizon of the bulk and the causal part of the accelerated quark is transformed to a static free-quark in the Rindler coordinate. As a result, the confinement of the Minkowski vacuum is lost in the Rindler vacuum. This point is assured also by studying the potential between the quark and anti-quark. However, the remnants of the original confining force are seen in various thermal quantities. We also discuss the consistency of our results and the claim that the Green's functions will not be changed by the Rindler transformation.Comment: 25 pages, 7 figure

An extended q-deformed su(2) algebra and the Bloch electron problem

It is shown that an extended q-deformed $su(2)$ algebra with an extra (``Schwinger '') term can describe Bloch electrons in a uniform magnetic field with an additional periodic potential. This is a generalization of the analysis of Bloch electrons by Wiegmann and Zabrodin. By using a representation theory of this q-deformed algebra, we obtain functional Bethe ansatz equations whose solutions should be functions of finite degree. It is also shown that the zero energy solution is expressed in terms of an Askey Wilson polynomial.Comment: 11 pages, Late

Downsian Positions of Parties and Districts from the Numbers of Votes with Examples of Japanese Congressional Elections 1983 - 2004

This paper proposes, under assumptions of sincere voters with some additional conditions, to calculate the positions of parties and districts by “solving” a system of equations whose left hand sides are theoretical predictions and theright hand sides are the actual numbers of votes gained by the parties in the districts. The positions of parties and prefectures are calculated for the seats for the proportional representation in the Japanese congressional elections 1983 – 2004. The result reveals that the competition in these elections was not between the right and the left, but between the urban and the rural

Molecular dynamics simulation of enhanced oxygen ion diffusion in strained yttria-stabilized zirconia

科研費報告書収録論文(課題番号:09355030・基盤研究(A)(2)・H9～H11/研究代表者:宮本, 明/次世代エレクトロニクス材料としての酸化物人口超格子の原子レベル設計と開発

Quantum chemical study on the oxidation process of a hydrogen terminated Si surface

科研費報告書収録論文(課題番号:09450296・基盤研究(B)(2)・H9～H10/研究代表者:宮本, 明/新しい高速化第一原理分子動力学計算プログラムの開発と金属超微粒子触媒への応用