Regular Series


Vol. 14 (1983), No. 1, pp. 3 – 71


The Perturbed Sine-Gordon Equation II: Analytic Build-Up of the One-Kink Sector for the Multiple Sine-Gordon Equations

abstract

We show that for a class of the multiple sine-Gordon equations, the form of the low lying excitations of a kink coincides with the recently introduced matrix generalization for the Gauss hypergeometric function.


Limitation of the Concept of the Classical Colored Particle

abstract

We argue that a clot of color charged matter placed in an external nonabelian gauge field will not, in general, propagate in any definite direction. Instead, it will tend to disperse all over the space. We also prove that if the position \(\vec x(t)\) and the color, spin vector \(\vec I(t)\) of the classical colored particle are identified with the expectation values of the corresponding quantum operators in the state representing a wave packet, then the classical Wong’s equations give wrong values of \(\vec I(t)\) for large time \(t\).


Quark Mixing and the Cabibbo Angle in the Chiral SU\(_4\times \)SU\(_4\) Broken Symmetry

abstract

The problem of a separate and then simultaneous mixing of quarks in doublet \((d,s)\) and \((u,c)\) in the chiral SU\(_4\times \)SU\(_4\) symmetry is discussed. A method which allows one to calculate the rotation angle is introduced. It is possible that the measured Cabibbo angle is effectively the sum of angles connected with the simultaneous mixing of quarks in the electrically charge subspaces +2/3 and \(-1\)/3 respectively for the maximal allowed breaking of the chiral SU\(_4\times \)SU\(_4\) symmetry.


Nucleon–Quark Phase Transition in Heavy Ion Collisions

abstract

Although the details of such a phase transition are not fully understood, the thermodynamical data of the transition can be calculated from known parts of the equation of state in a self-consistent way. The result is that at moderate temperatures the transition begins at \(n=5\)–\(6n_0\) and the necessary density is lower for temperatures between 120 and 200 MeV. Some possibilities for observation are also discussed, with the conclusion that clear evidence has not been found until now.


Soft or Hard Wave Function in the End-Point Region?

abstract

The tail of the nucleon wave function at \(x \to 1\) is investigated. The dominance of this region by soft and hard effects is separately considered. Both contributions produce definite SU(6) symmetry breaking patterns which are compared with deep inelastic and large angle elastic scattering data. The analysis suggests the dominance of soft effects at present energies and momentum transfers.


The Action Principle for the Longitudinal Electromagnetic Field

abstract

An argument is presented which allows to determine the numerical coefficient with which the longitudinal part of the electromagnetic field should enter into the total action.


Quantum Mechanics of Phase

abstract

It is shown that the previously proposed gauge invariant theory of gradient current, whose essential part is the action of longitudinal field, leads, in the case of vanishing coupling constant, to very natural canonical commutation relations for the free phase.


The Nonconvective Plasma Bunching in Pulsars

abstract

It was argued in the Summary of J. Gil, Acta Phys. Pol. B12, 1081 (1981) that the nonconvective plasma bunching cannot be responsible for coherence of single-particle curvature radiation in pulsars.


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