Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-07-09
Nucl.Phys. B614 (2001) 367-387
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, 8 figures; v2: conclusions about O_20 are changed
Scientific paper
10.1016/S0550-3213(01)00414-X
In a {\cal N}=1 superspace setup and using dimensional regularization, we give a general and simple prescription to compute anomalous dimensions of composite operators in {\cal N}=4, SU(N) supersymmetric Yang-Mills theory, perturbatively in the coupling constant g. We show in general that anomalous dimensions are responsible for the appearance of higher order poles in the perturbative expansion of the two-point function and that their lowest contribution can be read directly from the coefficient of the 1/\epsilon^2 pole. As a check of our procedure we rederive the anomalous dimension of the Konishi superfield at order g^2. We then apply this procedure to the case of the double trace, dimension 4, superfield in the 20 of SU(4) recently considered in the literature. We find that its anomalous dimension vanishes for all N in agreement with previous results.
Penati Silvia
Santambrogio Alberto
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