Quantum field theory on a discrete space and noncommutative geometry

Details Quantum field theory on a discrete space and noncommutative geometry Quantum field theory on a discrete space and noncommutative geometry

2001-09-20

arxiv.org/abs/hep-th/0109161v1

Annals Phys. 299 (2002) 1-77

Physics

High Energy Physics

High Energy Physics - Theory

111 pages, 6 figures, Habilitationsschrift

Scientific paper

We analyse 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 Feyman diagrams of the corresponding theory in four dimensions is worked out explicitly. Special emphasis is put on the motivation as well as the presentation of some well-known basic notions of quantum field theory which in the zero-dimensional theory can be studied without being spoiled by technical complications due to the absence of divergencies.

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