From Group Actions to Determinant Bundles Using (Heat-kernel) Renormalization Techniques

  • Sylvie Paycha
Part of the DMV Seminar Band book series (OWS, volume 31)


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 : pp/G.


Gauge Group Vector Bundle Fundamental Form Elliptic Operator Pseudodifferential Operator 
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© Springer Basel AG 2001

Authors and Affiliations

  • Sylvie Paycha
    • 1
  1. 1.Laboratoire de Mathématiques AppliquéesComplexe Universitaire des CézeauxAubiére CedexFrance

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