Dirac Operators and Clifford Geometry - New Unifying Principles in Particle Physics ?
نویسنده
چکیده
In this lecture I will report on some recent progress in understanding the relation of Dirac operators on Clifford modules over an even-dimensional closed Riemannian manifold M and (euclidean) Einstein-Yang-Mills-Higgs models. Lecture at the IV th Conference on Clifford Algebras and their Applications in Mathematical Physics, Aachen, Germany, May 28 31, 1996 Although being a gauge theory, it is well-known that the classical theory of gravity as enunciated by Einstein stands apart from the non-abelian gauge field theory of Yang, Mills and Higgs, which encompasses the three other fundamental forces: the electromagnetic, weak and the strong interaction. General relativity is governed by a variational principle associated with the Lagrangian
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