We analyze in detail the quantization of a simple noncommutative model of spontaneous symmetry breaking in zero dimensions taking into account the noncommutative setting seriously. The connection to the counting argument of Feynman diagrams of the corresponding theory in four dimensions is worked ou
Finite quantum field theory in noncommutative geometry
✍ Scribed by H. Grosse; C. Klimčík; P. Prešnajder
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 481 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0020-7748
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Following the general principles of noncommutative geometry, it is possible to define a metric on the space of pure states of the noncommutative algebra generated by the coordinates. This metric generalizes the usual Riemannian one. We investigate some general properties of this metric in finite com
## Abstract This is an exposition of joint work with S. Doplicher, K. Fredenhagen, and Gh. Piacitelli [1]. The violation of unitarity found in quantum field theory on noncommutative spacetimes in the context of the so‐called modified Feynman rules is linked to the notion of time ordering implicitly