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.
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Paycha, S. (2001). From Group Actions to Determinant Bundles Using (Heat-kernel) Renormalization Techniques. In: Huckleberry, A., Wurzbacher, T. (eds) Infinite Dimensional Kähler Manifolds. DMV Seminar Band, vol 31. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8227-9_5
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DOI: https://doi.org/10.1007/978-3-0348-8227-9_5
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