Zeta-Regularized Traces Versus the Wodzicki Residue as Tools in Quantum Field Theory and Infinite Dimensional Geometry

Sylvie Paycha ()
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Sylvie Paycha: Complexe des Cézeaux, Département de Mathématiques

A chapter in Proceedings of the International Conference on Stochastic Analysis and Applications, 2004, pp 69-84 from Springer

Abstract: Abstract We compare two candidates for a “trace” in infinite dimensions, namely the Wodzicki residue and ζ-regularized “traces”. We discuss their relevance when trying to extend some classical notions in finite dimensions to an infinite dimensional context appropriate for quantum field theory. This is a review article based on [6, 5, 18, 19].

Keywords: Zeta-regularized trace; Wodzicki residue; quantum field theory; infinite dimensional geometry (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-2468-9_5

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DOI: 10.1007/978-1-4020-2468-9_5

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