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ArticleOriginal scientific text

Title

On path integration on noncommutative geometries

Authors 1

Affiliations

  1. Department of Applied Mathematics, & Theoretical Physics, and Corpus Christi College in the University of Cambridge, Silver Street, Cambridge CB3 9EW, U.K.

Abstract

We discuss a recent approach to quantum field theoretical path integration on noncommutative geometries which imply UV/IR regularising finite minimal uncertainties in positions and/or momenta. One class of such noncommutative geometries arise as `momentum spaces' over curved spaces, for which we can now give the full set of commutation relations in coordinate free form, based on the Synge world function.

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Banach Center Publications
1997/40/1
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Pages:
379-386
Main language of publication
English
Published
1997
Exact and natural sciences