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Perturbative BF-Yang-Mills theory on noncommutative R^4 | | H.B. Benaoum
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5 Dec 1999 | | Journal: | Nucl.Phys. B585 (2000) 554-566 | | Subject: | hep-th | | Affiliation: | Mainz Uni. | | 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 $eta$-function is like the usual SU(N) commutative BFYM and Yang Mills theories. | | Source: | arXiv, hep-th/9912036 | | Services: | Forum | Review | PDF | Favorites | |
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