Strong intermittency in momentum space

Criticality, fractality, and intermittency in strong interactions.

Assuming a second-order phase transition for the hadronization process, we attempt to associate intermittency patterns in high-energy hadronic collisions to fractal structures in configuration space and corresponding intermittency indices to the isothermal critical exponent at the transition temperature. In this approach, the most general multidimensional intermittency pattern, associated to a ...

Chaotic eigenfunctions in momentum space

We study eigenstates of chaotic billiards in the momentum representation and propose the radially integrated momentum distribution as useful measure to detect localization effects. For the momentum distribution, the radially integrated momentum distribution, and the angular integrated momentum distribution explicit formulae in terms of the normal derivative along the billiard boundary are deriv...

Intermittency in Turbulence: Multiplicative random process in space and time

We present a simple stochastic algorithm for generating multiplicative processes with multiscaling both in space and in time. With this algorithm we are able to reproduce a synthetic signal with the same space and time correlation as the one coming from shell models for turbulence and the one coming from a turbulent velocity field in a quasi-Lagrangian reference frame. Corresponding author: Dr....

Intermittency and local dissipation scales under strong mean shear

Calculation of Momentum Space Integrals

In the last chapter we have shown that the problem of determining the counterterms in φ 4-theory can be reduced completely to the calculation of massless Feynman integrals in momentum space. Among these, the massless propagator-type integrals generated by the technique of infrared rearrangement in Section 12.2 can be calculated most easily by algebraic methods. The result of a successive applic...