"MINIMAL GEOMETRIC DATA" APPROACH TO DIRAC ALGEBRA, SPINOR GROUPS AND FIELD THEORIES

DOI10.1142/S0219887807002417zbMath1144.15023arXivmath-ph/0703003OpenAlexW3106156922MaRDI QIDQ3502993

Daniel Canarutto

Publication date: 20 May 2008

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0703003

zbMATH Keywords

spinor groupsDirac algebratwo-spinorsspinor geometryEinstein-Cartan-Maxwell-Dirac fields

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Einstein-Maxwell equations (83C22)

Related Items (14)

On the geometry of ghosts ⋮ On the notions of energy tensors in tetrad-affine gravity ⋮ Two-spinor geometry and gauge freedom ⋮ Covariant-differential formulation of Lagrangian field theory ⋮ Natural extensions of electroweak geometry and Higgs interactions ⋮ A first-order Lagrangian theory of fields with arbitrary spin ⋮ Two-spinor tetrad and Lie derivatives of Einstein-Cartan-Dirac fields ⋮ HERMITIAN VECTOR FIELDS AND COVARIANT QUANTUM MECHANICS OF A SPIN PARTICLE ⋮ An algebraic approach to physical scales ⋮ Special generalized densities and propagators: A geometric account ⋮ Frölicher-smooth geometries, quantum jet bundles and BRST symmetry ⋮ TETRAD GRAVITY, ELECTROWEAK GEOMETRY AND CONFORMAL SYMMETRY ⋮ FERMI TRANSPORT OF SPINORS AND FREE QED STATES IN CURVED SPACETIME ⋮ Positive spaces, generalized semi-densities, and quantum interactions

Cites Work

• Unified geometric theory of electromagnetic and gravitational interactions
• Two-spinors, field theories and geometric optics in curved spacetime
• Possibly degenerate tetrad gravity and Maxwell–Dirac fields
• QUANTUM BUNDLES AND QUANTUM INTERACTIONS

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