Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-07-12
Nucl.Phys. B729 (2005) 581-593
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 16 pages, 1 figure; references added; typos corrected; final version to appear in Nucl. Phys. B
Scientific paper
10.1016/j.nuclphysb.2005.09.017
We investigate various perturbative properties of the deformed N=4 SYM theory. We carry out a three-loops calculation of the chiral matter superfield propagator and derive the condition on the couplings for maintaining finiteness at this order. We compute the 2-, 3- and 4-point functions of composite operators of dimension 2 at two loops. We identify all the scalar operators (chiral and non-chiral) of bare dimension 4 with vanishing one-loop anomalous dimension. We compute some 2- and 3-point functions of these operators at two loops and argue that the observed finite corrections cannot be absorbed by a finite renormalization of the operators.
Rossi G. C.
Sokatchev Emery
Stanev Ya . S.
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