abstract

The description of the free notoph in the noncovariant longitudinal gauge is given. The free propagators of the notoph are calculated.

abstract

The interaction of the notivarg with an external current is discussed. The “continuity” equations for the external current are obtained.

abstract

The canonical analysis of (i) the free notivarg theory and (ii) the theory of the notivarg interacting with the external Weyl current is performed.

abstract

We investigate the problem of discrete in time regular perturbations affecting a deterministic process with a generic relaxation time. The effect on the moments of a kinetic process caused by chaotic changes in the deterministic forcing is calculated. Our discussion is carried out in two stages. First, direct calculations determining statistical properties of the process driven by a chaotic motion are presented. Second, the long time predictions of the model are analyzed in a perspective of a properly taken limit of continuous-time idealization of a regular forcing. Some comparisons are made with the known properties of continuous time stochastic processes.

abstract

We present a simple scheme of \(p + p\) collision which reproduces with very good accuracy KNO scaling properties of charged particle multiplicities in the energy range from threshold energies to the top of the CERN ISR energies. This scheme is used in the independent scattering frame to the description of global characteristics like transverse energy production in proton + nucleus and nucleus + nucleus ultrarelativistic collisions.

abstract

The correct forms of the equations of motion, of the boundary conditions and of the conserved energy-momentum for a classical rigid string are given. Certain consequences of the equations of motion are presented. We also point out that in Hamiltonian description of the rigid string the usual time evolution equation \(\dot {F} = \{H, F\}\) is modified by some boundary terms.

abstract

It is pointed out that the vector particle of the 3+1 dimensional Abelian Riggs model can form bound states with a vortex. The modes of the vector field bound by the vortex are effectively represented by a two-dimensional Proca field living on the vortex. We also notice that a heavy-string limit of the vortex yields a bosonic string with internal degrees of freedom given by the two-dimensional Proca field.