On path integration on noncommutative geometries

Achim Kempf

Banach Center Publications (1997)

  • Volume: 40, Issue: 1, page 379-386
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Kempf, Achim. "On path integration on noncommutative geometries." Banach Center Publications 40.1 (1997): 379-386. <http://eudml.org/doc/252236>.

@article{Kempf1997,
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.},
author = {Kempf, Achim},
journal = {Banach Center Publications},
keywords = {path integration; noncommutative geometries; curved spaces; Synge world function},
language = {eng},
number = {1},
pages = {379-386},
title = {On path integration on noncommutative geometries},
url = {http://eudml.org/doc/252236},
volume = {40},
year = {1997},
}

TY - JOUR
AU - Kempf, Achim
TI - On path integration on noncommutative geometries
JO - Banach Center Publications
PY - 1997
VL - 40
IS - 1
SP - 379
EP - 386
AB - 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.
LA - eng
KW - path integration; noncommutative geometries; curved spaces; Synge world function
UR - http://eudml.org/doc/252236
ER -

References

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