1 7 Se p 20 09 Asymptotic shape of the region visited by an Eulerian

Asymptotic shape of the region visited by an Eulerian walker.

We study an Eulerian walker on a square lattice, starting from an initial randomly oriented background using Monte Carlo simulations. We present evidence that, for a large number of steps N , the asymptotic shape of the set of sites visited by the walker is a perfect circle. The radius of the circle increases as N1/3, for large N , and the width of the boundary region grows as Nalpha/3, with al...

ar X iv : h ep - p h / 06 09 09 7 v 1 1 1 Se p 20 06 Particle Physics : a Progress Report

ar X iv : q ua nt - p h / 06 09 11 5 v 1 1 5 Se p 20 06 Shape invariance approach to exact solutions

Using the shape invariance property we obtain exact solutions of the (1 + 1) dimensional Klein-Gordon equation for certain types of scalar and vector potentials. We also discuss the possibility of obtaining real energy spectrum with non-Hermitian interaction within this framework.

ar X iv : h ep - p h / 96 09 31 7 v 1 1 1 Se p 19 96 Profile of the Electroweak Bubble Wall

We study the CP-violating bubble wall by solving the coupled equations of motion derived from the two-Higgs-doublet model for the moduli ρ i and phases θ i of the two scalars (i = 1, 2) at the transition temperature. We find a solution that the CP-violating phase θ ≡ θ 1 − θ 2 connecting the CP-conserving vacua strongly violates CP in the intermediate region while the moduli largely deviate fro...

ar X iv : h ep - p h / 02 09 28 4 v 1 2 4 Se p 20 02 1 Canonical aspects of strangeness enhancement

Strangeness enhancement (SE) in heavy ion collisions can be understood in the statistical model on the basis of canonical suppression. In this formulation, SE is a consequence of the transition from canonical to the asymptotic grand canonical limit and is predicted to be a decreasing function of collision energy. This model predictions are consistent with the recent NA49 data on Λ enhancement a...