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On noncommutative geometric regularization

Achim Kempf
(
- Cambridge U.
)

Feb, 1996

9 pages

Published in:

Phys.Rev.D 54 (1996) 5174-5178,
Phys.Rev.D 55 (1997) 1114 (erratum)

e-Print:

hep-th/9602119 [hep-th]

DOI:

Report number:

DAMTP-96-23

View in:

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Abstract: (arXiv)

Studies in string theory and in quantum gravity suggest the existence of a finite lower bound to the possible resolution of lengths which, quantum theoretically, takes the form of a minimal uncertainty in positions

\Delta x_0

. A finite minimal uncertainty in momenta

\Delta p_0

has been motivated from the absence of plane waves on generic curved spaces. Both effects can be described as small noncommutative geometric features of space-time. In a path integral approach to the formulation of field theories on noncommutative geometries, we can now generally prove IR regularisation for the case of noncommutative geometries which imply minimal uncertainties

\Delta p_0

in momenta.

Note:

LaTex, 9 pages

04.60.-m
11.25.-w
11.10.Gh
differential geometry: noncommutative
field theory: scalar
path integral
regularization
linear space: Hilbert space

References(12)

Figures(0)

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