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

In: Proceedings of the International Conference on Stochastic Analysis and Applications

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  • Sylvie Paycha

    (Complexe des Cézeaux, Département de Mathématiques)

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].

Suggested Citation

  • Sylvie Paycha, 2004. "Zeta-Regularized Traces Versus the Wodzicki Residue as Tools in Quantum Field Theory and Infinite Dimensional Geometry," Springer Books, in: Sergio Albeverio & Anne Boutet de Monvel & Habib Ouerdiane (ed.), Proceedings of the International Conference on Stochastic Analysis and Applications, pages 69-84, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4020-2468-9_5
    DOI: 10.1007/978-1-4020-2468-9_5
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