A general relation between kink-exchange and kink-rotation

DOI10.1007/BF01218018zbMath0668.55016MaRDI QIDQ1118204

Rafael D. Sorkin

Publication date: 1988

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

kinksspin-statistics correlationSU(n)-bundlesthird homotopy group of the manifold of values of a field

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81T99) Applications of quantum theory to specific physical systems (81V99) Homotopy theory (55P99) Topology of vector bundles and fiber bundles (57R22) Manifolds of mappings (58D15) Fiber spaces and bundles in algebraic topology (55R99)

Related Items (12)

Geometry and analysis in nonlinear sigma models ⋮ Matter from Space ⋮ Aspects of 3-manifold theory in classical and quantum general relativity ⋮ Fermionic quantization and configuration spaces for the Skyrme and Faddeev-Hopf models ⋮ Quantum mechanics, knot theory, and quantum doubles ⋮ Line bundles and spin-statistics of solitons ⋮ Geometrical meaning of braid statistics in \((1+1)\)- and \((2+1)\)- dimensional quantum field theory ⋮ Coinciding versus noncoinciding: Is the topological spin-statistics theorem already proven in quantum mechanics? ⋮ The superspace of geometrodynamics ⋮ Spinning particles, braid groups and solitons ⋮ Black hole statistics ⋮ On the failure of spin-statistics connection in quantum gravity

Cites Work

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• Kinematics of Yang-Mills solitons
• Connection between Spin, Statistics, and Kinks

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