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On the interaction of spin and torsion. (English) Zbl 0564.53046

The authors study the geometry of Cartan connections and their relation to the theory of spontaneous symmetry-breaking. They consider the equations of motion of a massive chargeless particle whose spin interacts with the curvature and torsion of a gravitational field. These equations are solved in the case of a constant vector torsion on a flat Minkowski space and the solution for a vector torsion wave is exhibited.
Reviewer: J.D.Zund

MSC:

53C80 Applications of global differential geometry to the sciences
53C05 Connections (general theory)
81T99 Quantum field theory; related classical field theories
81V99 Applications of quantum theory to specific physical systems
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