Strong Interactions in Gravitation Theory.
Abstract
A geometrical approach is used wherein the gauge field enters through the affinity which helps to define covariant differentiation in the combined space of Dirac spin and internal symmetries. Gravity enters, as in the theory of general relativity, by covariant extension to a Riemann space. A calculus of four component spinors using a notation similar to that introduced by van der Waerden for two component spinors is presented. The concept of a hermitian metric for the spin space is placed on a firm footing by providing a definition which defines it uniquely, within a numerical factor. A Lorentz invariant generalization of the spin metric is demonstrated. The mass of the Dirac field is then shown to be functionally related to parameters in the general spin metric.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1979
- Bibcode:
- 1979PhDT........27S
- Keywords:
-
- Physics: Elementary Particles and High Energy;
- Dirac Equation;
- Field Theory (Physics);
- Gravitation Theory;
- Particle Interactions;
- Riemann Manifold;
- Electromagnetic Fields;
- Invariance;
- Lagrangian Equilibrium Points;
- Lorentz Transformations;
- Mesons;
- Quarks;
- Geophysics