Tetsuji Kawabe

Deterministic chaos in spatially homogeneous model of Abelian-Higgs theory

Abstract The chaotic properties in the Abelian-Higgs theory are numerically studied in the limit of spatially homogeneous fields. Based upon the analyses on the distribution of the Lyapunov characteristic exponents, we find that this dynamical system shows the transition from order to chaos within a certain range of the coupling constant and energy, whose property is different from the order-to-chaos transition found in the topological solutions of the SU(2) Yang-Mills-Higgs theories. It is also pointed out that the onset of chaos can be analytically described by the instability argument of the dynamical systems.

Two probability distributions in the pure birth process and their applications to hadron-hadron collisions☆

Abstract Two different probability distributions in the pure birth process are considered. They depend on initial conditions: (A) δ n,k ( k is the number of hadrons at t =0). (B) σ k δ n , k 〈 m 〉 k exp (−〈 m 〉)/ k ! (the number of hadrons at t =0) is distributed by the Poisson law with the average multiplicity 〈 m 〉). Moment formulae are used in analyzing data in the energy range of Serpukhov, FNAL, ISR and SPS p p colliders. Higher moments ( C 4 and C 5 ) of the first case (A) give larger values than those obtained by the negative binomial (NB) distribution. The second case (B) gives compatible values as well as the NB distribution. Moreover, other stochastic quantities are presented.

Chaotic behaviour in sphaleron solution

We investigate the dynamical system derived from the SU(2) Yang-Mills-Higgs theory with sphaleron solution for the case of spatial homogeneity. Numerical studies of the Poincare surface of section and the Lyapunov characteristic exponents show that this system exhibits an order-to-chaos transition similar to one found in the SU(2) magnetic monopole solution, which strongly suggests that such a transition is characteristic of the non-Abelian field theories with non-trivially topological solitons.

Forward-backward multiplicity distributions in the Peřina-McGill scheme and analysis ine+e− collisions

AbstractA forward-backward multiplicity correlation is considered by the use of the Peřina-McGill formula. We obtain analytic formulae for conditional cumulants of the backward multiplicity and a conditional backward multiplicity distribution at a given forward multiplicity. The multiplicity distribution and the conditional mean multiplicity observed at

On the color factor of n‐gluon decay from quarkonium

\sqrt s = 29

Onset of chaos in time-dependent spherically symmetric SU(2) Yang-Mills theory.

in HRS ine+e− collisions are analysed. We predict the conditional moments and the conditional backward multiplicity distribution. Those should be compared with the future analyses in HRS.

Onset of chaos in SU (2) Yang-Mills-Higgs theory with monopole

A model equation for the ionization wave (Duffing’s equation) is studied. The system shows chaotic behavior via an intermittent route to chaos. It is left for experimentalists to devise experiments to test the theoretical predictions.

Chaos based on Riemannian geometric approach to Abelian-Higgs dynamical system

A method for evaluating the weight of the color factor necessary for gluon decay in the context of quantum chromodynamics (QCD) is presented. As concrete examples, the method is applied to the three‐ and four‐gluon decays from heavy quarkonium.