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arXiv · hep-th/9912036

Perturbative BF-Yang-Mills theory on noncommutative R^4

H. B. Benaoum
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Abstract

A U(1) BF-Yang-Mills theory on noncommutative ${\mathbb{R}}^4$ is presented and in this formulation the U(1) Yang-Mills theory on noncommutative ${\mathbb{R}}^4$ is seen as a deformation of the pure BF theory. Quantization using BRST symmetry formalism is discussed and Feynman rules are given. Computations at one-loop order have been performed and their renormalization studied. It is shown that the U(1) BFYM on noncommutative ${\mathbb{R}}^4$ is asymptotically free and its UV-behaviour in the computation of the $β$-function is like the usual SU(N) commutative BFYM and Yang Mills theories.

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BibTeXRIS

H. B. Benaoum. 2000-05-25. Perturbative BF-Yang-Mills theory on noncommutative R^4. https://doi.org/10.1016/s0550-3213(00)00364-3

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