Gravitation

Walter Thirring
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Walter Thirring: University of Vienna, Institute for Theoretical Physics

Chapter 4 in A Course in Mathematical Physics 2, 1978, pp 155-252 from Springer

Abstract: Abstract In field theory one has to deal with deri vat ives of vector fields and in modern theories there appear quantities which are vectors not in space-time but in an internal space. In both cases one deals with vector bundles where vectors at different points are not canonically oriented towards each other. A chart independent notion of a derivative requires an additional structure, the so-called connection. It will be the subject of this chapter. As one hopes that eventually space , time and internal space will turn out to be onl y different directions in a unifying entity we start with some definitions which allow us to tre at both cases in the same way.

Keywords: Vector Field; Gauge Group; Vector Bundle; Gauge Transformation; Orthogonal Basis (search for similar items in EconPapers)
Date: 1978
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DOI: 10.1007/978-1-4419-8762-4_4

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