From Group Actions to Determinant Bundles Using (Heat-kernel) Renormalization Techniques
Identifieur interne : 000376 ( France/Analysis ); précédent : 000375; suivant : 000377From Group Actions to Determinant Bundles Using (Heat-kernel) Renormalization Techniques
Auteurs : Sylvie Paycha [France]Source :
- DMV Seminar Band ; 2001.
Abstract
Abstract: The functional quantization of gauge field theories leads to interesting infinite dimensional geometric problems from which one expects to extract some information on the original gauge theory. The geometric framework underlying a gauge field theory is essentially that of an infinite dimensional Lie group G, the gauge group, acting on an infinite dimensional manifold, the manifold of paths p. Here we shall consider a setting in which this group action gives rise to a principal bundle π : p → p/G.
Url:
DOI: 10.1007/978-3-0348-8227-9_5
Affiliations:
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<front><div type="abstract" xml:lang="en">Abstract: The functional quantization of gauge field theories leads to interesting infinite dimensional geometric problems from which one expects to extract some information on the original gauge theory. The geometric framework underlying a gauge field theory is essentially that of an infinite dimensional Lie group G, the gauge group, acting on an infinite dimensional manifold, the manifold of paths p. Here we shall consider a setting in which this group action gives rise to a principal bundle π : p → p/G.</div>
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