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.
@article{bwmeta1.element.bwnjournal-article-bcpv40z1p379bwm,
author = {Kempf, Achim},
title = {On path integration on noncommutative geometries},
journal = {Banach Center Publications},
volume = {38},
year = {1997},
pages = {379-386},
zbl = {0890.46050},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv40z1p379bwm}
}
Kempf, Achim. On path integration on noncommutative geometries. Banach Center Publications, Tome 38 (1997) pp. 379-386. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv40z1p379bwm/
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