### Regular Series

#### Vol. 17 (1986), No. 1, pp. 3 – 100

On Analytical Continuation of the Kerr–Newman Metric with Cosmological Constant

Acta Phys. Pol. B 17, 3 (1986)

page 3 •

abstract

Analytically continued manifold for the Kerr–Newman metric with cosmological constant is considered by means of local Lorentz transformations. The correspondence between regions of the manifold and subluminal and superluminal characters of speed is indicated. A possibility of the interior structure stability for analytically continued Kerr-type manifolds is shown.

Cosmic Time and Chaos

Acta Phys. Pol. B 17, 11 (1986)

page 11 •

abstract

It is shown that the Friedman cosmological models (1) with bulk viscosity dissipation, (2) with Weyssenhoff fluid (perfect fluid with macroscopic spin), (3) with a phase transition in a very early stage of the evolution, all possessing negative space-curvature, after being compactified. exhibit chaotic behaviour in asymptotic states. Geodesic flows in such models are characterized by an exponential instability; they are mixing ergodic, and have non-zero metric entropy. In fact these world models are special cases of a “chaotic evolution” described by Lockhart, Misra and Prigogine. In particular, Prigogine’s “internal time” may be defined in them. Some remarks, concerning a predictability in cosmological models with the geodesic instability, are made.

Stochastic Time Scale for the Universe

Acta Phys. Pol. B 17, 19 (1986)

page 19 •

abstract

An intrinsic time scale is naturally defined within stochastic gradient dynamical systems. It should be interpreted as a “relaxation time” to a local potential minimum after the system has been randomly perturbed. It is shown that for a flat Friedman-like cosmological model this time scale is of order of the age of the Universe.

Acta Phys. Pol. B 17, 25 (1986)

page 25 •

abstract

A simple supersymmetric system of noninteracting photons and photinos at finite values of temperature and supercharge is studied. Particular attention is drawn to properties of photons. Analogs of the Planck formula and the Stefan–Boltzmann law are considered.

On the Fermionic Path Integral

Acta Phys. Pol. B 17, 33 (1986)

page 33 •

abstract

The definition of the fermionic path integral is given which allows one to introduce the path integral representation of Feynman propagation function for theories with the fermionic degrees of freedom.

full authors' list

W. Smart, L. Voyvodic, H. Rubin, V. Ammosov, V. Baranov, V. Gapienko, V. Klyukhin, V. Koreshev, P. Pitukhin, V. Sirotenko, E. Slobodyuk, V. Yarba, A. Jurak, A. Olszewski, B. Wilczyńska, H. Wilczyński, W. Wolter, B. Wosiek, M. Ivanova, H. Tchernev, O. Egorov, P. Goritchev, E. Kolganova, I. Makhlyusheva, E. Pozharova, V. Shamanov, V. Shevchenko, V. Smirnitsky, A. Weissenberg, Yu. Batusov, S. Bunyatov, O. Kuznetsov, V. Lyukov, V. Tretyak, R. Ammar, D. Coppage, R. Davis, J. Grees, N. Kwak, R. Riemer, R. Stump, A. Bakich, L. Peak, T. Brunett, S. Krzywdziński, J. Lord, R. Rosenbladt, R. Wilkes

Neutrino Interactions in Emulsion Stacks Inside the Fermilab 15-Foot Bubble Chamber

Acta Phys. Pol. B 17, 41 (1986)

page 41 •

abstract

We report a study of neutrino interactions on heavy nuclei in an exposure of emulsion stacks placed inside the Fermilab 15-foot Bubble Chamber. Our technique for locating interactions in cryogenically sensitive emulsion using bubble chamber measurements is described. We have compared hadrons produced in 128 charged-current neutrino interactions selected from 294 interactions found in emulsion, with hadrons produced in neutrino-deuterium interactions in the bubble chamber liquid. We have located and analyzed 5 charm particle decays.

Forward–Backward Correlations in the Multiple Production

Acta Phys. Pol. B 17, 65 (1986)

page 65 •

abstract

We discuss the minimal model for the forward-backward correlations in the hadron- and lepton-induced multiple production. In this model correlations are generated by averaging over the components corresponding to the independent emission of clusters with different average multiplicities. We show that the model corrected approximately for phase-space effects describes reasonably well the high energy hadronic data. On the other hand, the test of its applicability to the lh or $e^+e^-$ data requires higher energies than presently available.

Relativistic Two-Body Equation for One Dirac and One Duffin–Kemmer–Petiau Particle, Consistent with the Hole Theory

Acta Phys. Pol. B 17, 75 (1986)

page 75 •

abstract

An equal-time two-body wave equation consistent with the hole theory is found for one Dirac particle and one Duffin–Kemmer–Petiau particle (of spin 0 or 1) interacting through static potentials. A natural field of application of this work is the quark + diquark model of the nucleon.

Fractional Baryon Numbers of Chiral Bags

Acta Phys. Pol. B 17, 83 (1986)

page 83 •

abstract

Results on the fractional baryon numbers of the fermionic vacua in chiral bag models are reviewed. The simple case of the one-dimensional bag is presented in order to give an analogue for the much more complicated calculations in three dimensions. The baryonic number distribution inside the one-dimensional bag has been explicitly calculated. It exhibits logarithmic singularities.

Some Remarks on the Foldy–Wouthuysen Transformation for the Dirac Hamiltonian with an External Yang–Mills Field

Acta Phys. Pol. B 17, 93 (1986)

page 93 •

abstract

The Foldy–Wouthuysen transformation for the Dirac Hamiltonian with an external Yang–Mills field up to the order $(\frac {1}{mc})$ is performed. The color operators in the F–W representation are considered.

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