The action functional for Moyal planes

Details The action functional for Moyal planes The action functional for Moyal planes

2003-07-22

arxiv.org/abs/hep-th/0307220v2

Lett.Math.Phys. 65 (2003) 147-157

Physics

High Energy Physics

High Energy Physics - Theory

latex, 10 pages

Scientific paper

10.1023/B:MATH.0000004380.57824.

Modulo some natural generalizations to noncompact spaces, we show in this letter that Moyal planes are nonunital spectral triples in the sense of Connes. The action functional of these triples is computed, and we obtain the expected result, ie the noncommutative Yang-Mills action associated with the Moyal product. In particular, we show that Moyal gauge theory naturally fit into the rigorous framework of noncommutative geometry.

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