New results in the deformed N=4 SYM theory
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0507113,
title = {New results in the deformed N=4 SYM theory},
author = {G. C. Rossi and E. Sokatchev and Ya. S. Stanev},
journal= {arXiv preprint arXiv:hep-th/0507113},
year = {2009}
}
Comments
LaTeX, 16 pages, 1 figure; references added; typos corrected; final version to appear in Nucl. Phys. B