Rapoport, Diego; Sternberg, Shlomo On the interaction of spin and torsion. (English) Zbl 0564.53046 Ann. Phys. 158, 447-475 (1984). 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 Cited in 1 ReviewCited in 10 Documents 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 Keywords:Cartan connections; spontaneous symmetry-breaking; massive chargeless particle; vector torsion wave PDFBibTeX XMLCite \textit{D. Rapoport} and \textit{S. Sternberg}, Ann. Phys. 158, 447--475 (1984; Zbl 0564.53046) Full Text: DOI References: [1] Abers, E. S.; Lee, B. W., Phys. Rep., 9, 1 (1973) [2] Cartan, E.; Einstein, A., Lettres sur le parallelisme absolu, The Einstein-Cartan Correspondence, (Deberer, R. (1979), Princeton Univ. Press and The Royal Academy of Sciences of Belgium: Princeton Univ. Press and The Royal Academy of Sciences of Belgium Princeton, N.J) [3] Duval, C.; Horvathy, P., Ann. Phys. (NY), 142, 10-33 (1982) [4] Ehresmann, C., Les connexions infinitésimals dans un fibre différentiable, (Colloque de topologie. Colloque de topologie, Brussels (1950)) · Zbl 0054.07201 [5] Kobayashi, S., Can. J. Math., 8, 145-156 (1956) [6] Kobayashi, S., Ann. Mat. Pura Appl., 43, No. (4), 119-194 (1951) [7] Kobayashi, S.; Nomizu, K., (Foundations of Differential Geometry, Vol. I (1963), Wiley-Interscience: Wiley-Interscience New York) · Zbl 0119.37502 [8] Guillemin, V.; Sternberg, S., Hadronic J., 1, 1-323 (1978) [9] Guillemin, V.; Sternberg, S., Ann. Phys. (NY), 127, 220-253 (1980) [10] Guillemin, V.; Sternberg, S., (Symplectic Techniques in Physics (1984), Cambridge Univ. Press: Cambridge Univ. Press London/New York) · Zbl 0576.58012 [11] Rapoport, D.; Sternberg, S., Classical and prequantized mechanics without Lagrangians or Hamiltonians (1983), The Institute for Advanced Studies, Tel Aviv University, preprint No. 808-33 [12] Souriau, J. M., (Structure des Systèmes Dynamiques (Maîtrises des Mathématiques) (1970), Dunod: Dunod Paris) · Zbl 0186.58001 [13] S. Sternberg.Proc. Nat. Acad. Sci. U.S.A.; S. Sternberg.Proc. Nat. Acad. Sci. U.S.A. [14] Sternberg, S., (Lectures in Differential Geometry (1964), Prentice-Hall: Prentice-Hall Englewood Cliffs, N.J) · Zbl 0129.13102 [15] Sternberg, S., Trans. Amer. Math. Soc., 212, 113-130 (1975) [16] Sternberg, S.; Ungar, T., Hadronic J., 1, 33-36 (1978) [17] Tsamparlis, M., Phys. Rev. D, 24, No. 6, 14-51 (1981) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.