Noncommutative Quantum Field Theories

Details Noncommutative Quantum Field Theories Noncommutative Quantum Field Theories

2003-01-29

arxiv.org/abs/hep-th/0301237v2

Physics

High Energy Physics

High Energy Physics - Theory

45 pages, 11 figures, lectures delivered at the XII Jorge Andre Swieca Summar School, Section Particles and Fields, Campos de

Scientific paper

10.1119/1.1624116

We start by reviewing the formulation of noncommutative quantum mechanics as a constrained system. Then, we address to the problem of field theories defined on a noncommutative space-time manifold. The Moyal product is introduced and the appearance of the UV/IR mechanism is exemplified. The emphasis is on finding and analyzing noncommutative quantum field theories which are renormalizable and free of nonintegrable infrared singularities. In this last connection we give a detailed discussion of the quantization of the noncommutative Wess-Zumino model as well as of its low energy behavior.

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