7,025 research outputs found
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 is determined from the fluctuation of the order
parameter at the criticality as 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.
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