Noncommutative $Φ^4$ Theory at Two Loops

Details Noncommutative $Φ^4$ Theory at Two Loops Noncommutative $Φ^4$ Theory at Two Loops

2000-08-07

arxiv.org/abs/hep-th/0008057v3

JHEP 0101:025,2001

Physics

High Energy Physics

High Energy Physics - Theory

Latex, several ps figures, v3: 51 pages, presentation of introduction and conclusion improved, references added

Scientific paper

10.1088/1126-6708/2001/01/025

We study perturbative aspects of noncommutative field theories. This work is arranged in two parts. First, we review noncommutative field theories in general and discuss both canonical and path integral quantization methods. In the second part, we consider the particular example of noncommutative $\Phi^4$ theory in four dimensions and work out the corresponding effective action and discuss renormalizability of the theory, up to two loops.

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