abstract

A scale-invariant generalization of Weinberg’s theory of the color space is given. A minimal analytic model is constructed, with Gaussian protomeric basis; the metric tensor possesses four independent Killing vectors with an U(1)\(\otimes \)SO(1,1) symmetry group. The formalism is applied to dichromatic vision too, and a special model is shown, in which the color space is two-dimensional, however the dominant hues can be identified.

abstract

It is argued that the gauge symmetry can be broken spontaneously in the infinite dimension limit.

abstract

A superparticle is defined as an object classically described by the position four-vector and a Dirac bispinor, both treated as one-dimensional fields dependent on proper time. When quantized, they become Bose and Fermi quantum-mechanical operators, respectively. Dirac constraint method is used to propose two options for the first-quantization wave equation. Two one-dimensional broken supersymmetries, both connected with the proper time, are introduced to define dichotomic charge states of the superparticle. Then, spin-1/2 states of such a superparticle form four charge doublets that may be interpreted as four lepton generations. The lower bound for mass of the fourth-generation charged lepton is 5246 MeV.

abstract

The Exotic Commutator Method is applied to baryons in SU(3) and SU(4) symmetries. It is demonstrated that the maximal possible constraints on the masses and mixings follow from some finite set of exotic commutators. An enlargement of this set does not give additional constraints. A possible significance of such stable solutions is briefly discussed.

abstract

Relations amongst coupling parameters consistent with the renormalization group are governed by a set of ordinary differential equations — the “reduction equations”. Those are derived and then solved for a number of examples. They play a crucial role for constructing theories with \(\beta \)-functions vanishing to all orders. In the standard model they imply constraints on the Higgs and top quark mass and the mixing angles.

abstract

In 1986, a new era of studies of nucleus–nucleus collisions was ushered in when CERN accelerated \(^{16}\)O nuclei to energies of 60 GeV/nucleon and 200 GeV/nucleon for a series of experiments with nuclear targets. In this paper, some preliminary results are presented from the NA35 experiment, which uses a Streamer Chamber in conjunction with extensive hadronic and electromagnetic calorimetry. Evidence is found for production of energy densities in the interaction volume comparable to those predicted to be sufficient for formation of a quark–gluon plasma. Many of the early results can be understood in terms of simple extrapolation from nucleon–nucleon and/or nucleon–nucleus interactions. Areas where such a simple interpretation does not seem to apply are mentioned.

abstract

A generalization of the modified Thomas–Fermi (MTF) approximation to finite temperatures is used to calculate the optical potential for the \(^{208}\)Pb + \(^{203}\)Pb system using the energy density formalism derived from different effective forces of Skyrme type. The nuclear optical potential becomes more attractive when the temperature is increased. Pockets are also predicted in the total potential (Nuclear + Coulomb) whose depths are dependent on both the type of effective force and the temperature.