Differential calculus on fuzzy sphere and scalar field - INSPIRE

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Differential calculus on fuzzy sphere and scalar field

Ursula Carow-Watamura
(
- Tohoku U.
)
,
Satoshi Watamura
(
- Tohoku U.
)

Oct, 1997

12 pages

Published in:

Int.J.Mod.Phys.A 13 (1998) 3235-3244

e-Print:

q-alg/9710034 [math.QA]

DOI:

10.1142/S0217751X9800161X

Report number:

TU-525

View in:

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Abstract: (WSP)

We find that there is an alternative possibility to define the chirality operator on the fuzzy sphere, due to the ambiguity of the operator ordering. Adopting this new chirality operator and the corresponding Dirac operator, we define Connes' spectral triple on the fuzzy sphere and the differential calculus. The differential calculus based on this new spectral triple is simplified considerably. Using this formulation the action of the scalar field is derived.

space-time: sphere
space-time: deformation
operator: Dirac
operator: algebra
differential forms
field theory: scalar

References(22)

Figures(0)

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