abstract

The metricity condition and Lagrangian of Moffat’s pure nonsymmetric gravity are shown to be incompatible with the assumptions and definitions used. The correct metricity condition and Lagrangian are derived and some conclusions are drawn.

abstract

Applying the paraquantization of order two to a non Abelian gauge theory, we show that the action is invariant under some non trivial BRST transformations. The corresponding modified BRST charge and Slavnov–Taylor identities are derived.

abstract

Using the complex hyperbolic formalism, a model of nonsymmetric supergravity is constructed. It is shown that in order to have in four dimensions and with one supersymmetric charge, the same fermionic and bosonic degrees of freedom, one has to introduce a real scalar field. The local supersymmetric transformations are derived and the equations of motion are shown explicitly.

abstract

The production of \(Z^0W^+W^-\) gauge bosons at future \(e^+e^-\) colliders with c.m. energy 500–2000 GeV can provide the testing ground for quartic gauge couplings. For this purpose we examine the cross sections for given helicities of the final state gauge bosons and analyse the role of beam polarizations. The Higgs boson effect is also discussed.

abstract

On the base of the model of three families of algebraically composite leptons and quarks a semiempirical mass spectral formula is found for charged leptons \(e^-\), \(\mu ^-\), \(\tau ^-\). With two phenomenological parameters the formula gives successfully \(m_{\tau }=\) 1776.80 MeV, where the experimental \(m_e\) and \(m_{\mu }\) are used. In an economical way introducing only three extra parameters, the formula is extended phenomenologically to quarks \(u\), \(c\), \(t\) and \(d\), \(s\), \(b\). Then, with the use of experimental \(m_e/m_{\mu }\) and \(m_c\), \(m_b\) it determines quark masses, as well as the Cabibbo–Kobayashi–Maskawa quark mixing matrix with the use of experimental \(m_e/m_{\mu }\) and \(| V_{us} |\). The agreement with existing data is promising.

abstract

The dependence on bin volume of the averaged scaled factorial moments is analyzed for various data. It is confirmed that for 3-dimensional bins the term, depending power-like on the number of division (inverse average bin volume), seems to determine the shape of data. The spread of the fit parameter values due to various corrections and fitting procedure is larger than the observed differences between various processes.