Search

We analyze QED3 with a scalar-scalar type four-fermion interaction in the framework of 1/N expansion. We have derived the Dyson-Schwinger gap equation up to the next-to-leading order and determined the dynamically generated fermion mass as a function of the number of fermion flavors N and a scaled coupling θ. We observe that the critical behaviors are separated by the point [Formula: see text] and, contrary to the leading behaviors, there are mass generations even when θ ≥ θc with the critical flavor Nc. The critical line on the Nc−θc plane is presented. We also discuss the vacuum stability of our model, and confirm that our nontrivial solutions are energetically preferred to the perturbative solution Σ(p)=0.

We examine the recently proposed minimal chiral Schwinger model with the new Wess-Zumino action. From the physical requirement, we restrict the regularization ambiguity and show that it is equivalent to the Schwinger model.

An anomalous gauge theory can be quantized consistently by perturbation theory instead of Dirac's method in the Hamiltonian formulation. It reveals the gradually varying commutator structures according to the higher-order vertex corrections and the series sum of the commutator algebra of each order becomes the Dirac brackets for the bosonized action. However, the perturbation approach in the Lorentz-invariant gauge does not give the Dirac brackets.

We investigate the origin of the transition inside the desynchronization state via phase jumps in coupled chaotic oscillators. We claim that the transition is governed by type-I intermittency in the presence of noise whose characteristic relation is $ \propto \exp(\alpha|\epsilon_t -\epsilon|^{3/2})$ for $\epsilon_t -\epsilon \propto (\epsilon_t -\epsilon)^{-1/2}$ for $\epsilon_t -\epsilon >0$, where $$ is the average length of the phase locking state and $\epsilon$ is the coupling strength. To justify our claim we obtain analytically the tangent point, the bifurcation point, and the return map which agree well with those of the numerical simulations., Comment: 11 pages, 4 figures

Near the point of tangent bifurcation, the scaling properties of the laminar length of type-I intermittency are investigated in the presence of noise. Based on analytic and numerical studies, we show that the scaling relation of the laminar length is dramatically deformed from $\frac{1}{\sqrt{\epsilon}}$ for $\epsilon >0$ to $\exp\{\frac{1}{D}|\epsilon|^{3/2}\}$ for $\epsilon, Comment: 4 pages, 4 figures

We study the phase synchronization (PS) with type-II intermittency showing $\pm 2 \pi$ irregular phase jumping behavior before the PS transition occurs in a system of two coupled hyperchaotic R\"{o}ssler oscillators. The behavior is understood as a stochastic hopping of an overdamped particle in a potential which has $2 \pi$-periodic minima. We characterize it as type-II intermittency with external noise through the return map analysis. In $\epsilon_{t} < \epsilon < \epsilon_{c}$ (where $\epsilon_{t}$ is the bifurcation point of type-II intermittency and $\epsilon_{c}$ is the PS transition point in coupling strength parameter space), the average length of the time interval between two successive jumps follows $ \sim \exp(\mid\epsilon_{t} - \epsilon\mid^{2})$, which agrees well with the scaling law obtained from the Fokker-Planck equation., Comment: 5 pages, 5 figures

We investigate the one-loop effective potential of the supersymmetric model in the high-temperature domain. We observe the fact that supersymmetry can be broken by finite-temperature effects and there is a possibility that broken supersymmetry can be restored in the higher-temperature region

We investigate the critical behavior of the sine-Gordon theory at the one-loop level. We observe that the theory has a critical temperature {beta}{sub {ital c}} and restores the symmetry above {beta}{sub {ital c}}.

We derive another Wess-Zumino (minimal WZ) action which cancels the gauge anomaly of the chiral Schwinger model following a recently suggested method. The new WZ action cancels the gauge anomaly for {alpha}=1 and its effective action is equivalent to the usual one for {ital a}=2.