Initially an ultrarelativistic heavy-ion collision is gluon dominated to a degree that these bosons can be described as a classical vector potential A. The question is now, whether the production of quark-antiquark pairs or the production of quantum gluons from the eld dominates. In the background eld method of quantum chromodynamics a classical gauge eld and quantum uctuations are treated at t...

It is shown that a strong system of vector elds on a ber bundle in the sense of Mo] is induced from a principal ber bundle if and only if each vertical vector eld of the system is complete.

1 We consider reconstruction of a wave…eld distribution in an input/object plane from data in an output/di¤raction (sensor) plane. A contribution of this paper concerns both a digital modelling for the forward and backward wave…eld propagation. A novel algebraic matrix form of the discrete di¤raction transform (DDT) originated in [1] is proposed for the forward modelling which is aliasing free ...

This paper describes an edge detection and local-ization method at sub-pixel accuracy. The technique is based on the unambiguous probabilistic relaxation where its compatibility function is derived based on statistical measurements taken from a set of natural images.

Chiral orbifold models are deened as gauge eld theories with a nite gauge group ?. We start with a conformal current algebra A associated with a connected compact Lie group G and a negative deenite integral invariant bilinear form on its Lie algebra. Any nite group ? of inner automorphisms or A (in particular, any nite subgroup of G) gives rise to a gauge theory with a chiral subalgebra A ? A o...

It is argued that scale-invariant cosmic uctuations and cosmic dark matter might originate from two di erent modes of a single scalar eld. The dynamical relaxation of a multicomponent classical scalar eld in an expanding universe excites two generic types of global modes: massless Goldstone oscillations, which lead to scale-invariant isentropic uctuations, and massive Higgs modes, which lead to...

We show that R-matricies of all simple quantum groups have the properties which permit to present quantum group twists as transitions to other coordinate frames on quantum spaces. This implies physical equivalence of eld theories invariant with respect to q-groups (considered as q-deformed space-time groups of transformations) connected with each other by the twists. Taking into account this fr...