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Torsional Topological Invariants
H. T. Nieh
Making use of the SO(3,1) Lorentz algebra, we derive in this paper two series of Gauss-Bonnet type identities involving torsion, one being of the Pontryagin type and the other of t…
Torsion in Gauge Theory
H. T. Nieh
The potential conflict between torsion and gauge symmetry in the Riemann-Cartan curved space-time was noted by Kibble in his 1961 pioneering paper, and has since been discussed by…
Torsion and Gauge Invariance in Maxwell-Dirac Electrodynamics
H. T. Nieh
It has been known for a long time that the presence of torsion is in conflict with gauge invariance of the the electromagnetic field in curved Riemann-Cartan space if the Maxwell f…
A Torsional Topological Invariant
H. T Nieh
Curvature and torsion are the two tensors characterizing a general Riemannian spacetime. In Einstein's general theory of gravitation, with torsion postulated to vanish and the affi…