Riemann-Cartan-Weyl quantum geometry. I: Laplacians and supersymmetric systems

DOI10.1007/BF02083816zbMath0848.53053MaRDI QIDQ1912248

Diego L. Rapoport

Publication date: 6 November 1996

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

symplectic structureloop spacegeometry of quantum mechanicsLaplacian operatorsRiemann-Cartan-Weyl geometries

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Applications of differential geometry to physics (53Z05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (4)

Riemann-Cartan-Weyl quantum geometry. II: Cartan stochastic copying method, Fokker-Planck operator and Maxwell-de Rham equations ⋮ On the geometry of the random representations for viscous fluids and a remarkable pure noise representation ⋮ Riemann-Cartan-Weyl geometries, quantum diffusions and the equivalence of the free Maxwell and Dirac-Hestenes equations ⋮ Random diffeomorphisms and integration of the classical Navier-Stokes equations

Cites Work

• A new form of the general relativistic field equations
• On the interaction of spin and torsion
• Supersymmetry and Morse theory
• Nonlinear gauge theory of Poincaré gravity
• Stochastic processes in conformal Riemann-Cartan-Weyl gravitation
• Monopoles and four-manifolds
• K -Theory of Twisted Differential Operators
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
• Model of the Causal Interpretation of Quantum Theory in Terms of a Fluid with Irregular Fluctuations
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