Regular Series


Vol. 20 (1989), No. 3, pp. 165 – 245


Interior Fields of Charged Fluid Sphere in the Einstein–Cartan Theory

abstract

We obtain various explicit solutions to the interior Einstein–Maxwell field equations corresponding to charged fluid spheres in the Einstein–Cartan theory. The physical 3-space \(t =\) constant of the solution is spheroidal. The physical features of one of these solutions are also discussed.


Principles of Quantum Theory of Spinor Field in Riemannian Space-Time

abstract

Basic properties of the quantum spinor field theory in the Riemannian space-time are described. Both real and complex fields are considered.


A Non-Perturbative Contribution to the Vacuum Energy in Supersymmetric QCD

abstract

It is shown that instanton-anti-instanton induce a negative infrared finite vacuum energy in massless supersymmetric QCD. In the massive theory the same field configuration induces no vacuum energy because its classical action diverges due to the contribution of the mass term. Only if the scalar field is classically zero (in a background of an instanton-anti- -instanton) a vacuum energy is found in the massive theory. However, it is negative and infrared divergent.


Higher Order Canonical Formalism for the Scalar Field Theory

abstract

We quantize canonically the scalar field in the theory with higher derivatives. We show that the results are consistent with those obtained in the theory without higher derivatives.


Multiquark States in Nuclei and Nuclear Effects in Deep Inelastic Lepton Scattering and Lepton Pair Production

abstract

The nuclear quark distribution functions are obtained in the framework of the multiquark cluster model and with these distribution functions Drell–Yan cross sections for lepton pair production processes in hadron–nuclear collisions are calculated. Significant nuclear effects are predicted for the ratios of cross sections in the region of large \(M\) and negative \(X_F\). Results of the calculations. are compared with existing experimental data.


A Comment on the Berry and Aharonov–Anandan Effects

abstract

We generalize the notion of the Aharonov–Anandan phase and discuss its relation to the Berry matrix defined by Wilczek and Zee and by Giler et al.


Role of the Recoil and Centre-of-Mass Corrections to the Static Approximation in the Bag Model

abstract

The internal consistency of various methods of improving the static spherical cavity approximation to the MIT Bag Model is investigated by studying electromagnetic current matrix elements between boosted bag and the boosted hadron states. In the case when the bag state is identified with the hadron bound in an external potential the consistency requirement fixes parameters of this potential allowing to calculate the improved values of the electromagnetic properties of nucleons.


An Application of Group Theory to the Generator Coordinate Method

abstract

In the paper the generator coordinate method is reformulated to show its symmetry conservation property. The equations for the eigenvalues and eigenvectors of an overlap operator for the case of compact groups are derived. A rotational motion of an axially symmetric nuclear system is considered.


Dynamical Symmetry Breaking in Superstring Scenario

abstract

The possibility of dynamical symmetry breaking in the field theory limit of superstring theories is discussed. The proposed scenario should lead to a natural solution to the hierarchy problem.


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