Non-equilibrium Relaxation Analysis on Two-dimensional Melting

The melting transition in the hard-disk system is considered. Non-equilibrium relaxation analysis of the six-fold bond-orientational order parameter has been carried out. The critical point between the hexatic and the fluid phase is determined on the basis of the dynamic scaling hypothesis. The value of the critical exponent $\eta$ is determined from the fluctuation of the order parameter at the criticality as $\eta = 0.25(2)$ which is consistent with the prediction by the Kosterlitz-Thouless-Halperin-Nelson-Young theory.Comment: 8 pages, 5 figures. submitted to Prog. Theor. Phys. Suppl. as a proceedings of Symposium on the 50th anniversary of the Alder transitio

Mathematical Derivation of Chiral Anomaly in Lattice Gauge Theory with Wilson's Action

Chiral U(1) anomaly is derived with mathematical rigor for a Euclidean fermion coupled to a smooth external U(1) gauge field on an even dimensional torus as a continuum limit of lattice regularized fermion field theory with the Wilson term in the action. The present work rigorously proves for the first time that the Wilson term correctly reproduces the chiral anomaly.Comment: 33 pages, LaTe

Japanese Demand for M1 and Demand Deposits: Cross-Sectional and Time-Series Evidence from Japan

We investigate the relationship between money, short-term interest rates, and scale variables. We use three monetary aggregates: Ml, demand deposits, and cash currency in circulation. Regional cross- sectional data yield stable estimates of the income elasticity of demand deposits that are positive and close to unity. We impose the estimated income elasticity obtained from cross-sectional data and estimate double- log interest rate elasticities of demand for Ml velocities and demand- deposit velocities using time-series data.